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104530524240 = 243513912012609
BaseRepresentation
bin110000101011010000…
…0010011100001010000
3100222210220121211010210
41201112200103201100
53203034303233430
6120004243524120
710360235536662
oct1412640234120
9328726554123
10104530524240
114037083500a
1218313089640
139b1b312a0c
1450b8a34532
152abbd572b0
hex1856813850

104530524240 has 160 divisors (see below), whose sum is σ = 326772835200. Its totient is φ = 27640627200.

The previous prime is 104530524187. The next prime is 104530524253. The reversal of 104530524240 is 42425035401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104530524198 and 104530524207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40064056 + ... + 40066664.

It is an arithmetic number, because the mean of its divisors is an integer number (2042330220).

Almost surely, 2104530524240 is an apocalyptic number.

104530524240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104530524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163386417600).

104530524240 is an abundant number, since it is smaller than the sum of its proper divisors (222242310960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104530524240 is a wasteful number, since it uses less digits than its factorization.

104530524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 104530524240 its reverse (42425035401), we get a palindrome (146955559641).

The spelling of 104530524240 in words is "one hundred four billion, five hundred thirty million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1201 1390 1668 2085 2224 2402 2609 2780 3336 3603 4170 4804 5218 5560 6005 6672 7206 7827 8340 9608 10436 11120 12010 13045 14412 15654 16680 18015 19216 20872 24020 26090 28824 31308 33360 36030 39135 41744 48040 52180 57648 62616 72060 78270 96080 104360 125232 144120 156540 166939 208720 288240 313080 333878 362651 500817 626160 667756 725302 834695 1001634 1087953 1335512 1450604 1669390 1813255 2003268 2175906 2504085 2671024 2901208 3133409 3338780 3626510 4006536 4351812 5008170 5439765 5802416 6266818 6677560 7253020 8013072 8703624 9400227 10016340 10879530 12533636 13355120 14506040 15667045 17407248 18800454 20032680 21759060 25067272 29012080 31334090 37600908 40065360 43518120 47001135 50134544 62668180 75201816 87036240 94002270 125336360 150403632 188004540 250672720 376009080 435543851 752018160 871087702 1306631553 1742175404 2177719255 2613263106 3484350808 4355438510 5226526212 6533157765 6968701616 8710877020 10453052424 13066315530 17421754040 20906104848 26132631060 34843508080 52265262120 104530524240