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1010134240 = 255192314447
BaseRepresentation
bin111100001101010…
…110110011100000
32121101202010200021
4330031112303200
54032043243430
6244122403224
734013666533
oct7415266340
92541663607
101010134240
11479215895
12242360514
13131377b8b
1498228a1a
155da3407a
hex3c356ce0

1010134240 has 96 divisors (see below), whose sum is σ = 2621445120. Its totient is φ = 366119424.

The previous prime is 1010134231. The next prime is 1010134289. The reversal of 1010134240 is 424310101.

1010134240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62697 + ... + 77143.

It is an arithmetic number, because the mean of its divisors is an integer number (27306720).

Almost surely, 21010134240 is an apocalyptic number.

1010134240 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 1010134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310722560).

1010134240 is an abundant number, since it is smaller than the sum of its proper divisors (1611310880).

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

1010134240 is a wasteful number, since it uses less digits than its factorization.

1010134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14504 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1010134240 is about 31782.6090810682. The cubic root of 1010134240 is about 1003.3667323925.

Adding to 1010134240 its reverse (424310101), we get a palindrome (1434444341).

The spelling of 1010134240 in words is "one billion, ten million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 608 736 760 874 920 1520 1748 1840 2185 3040 3496 3680 4370 6992 8740 13984 14447 17480 28894 34960 57788 69920 72235 115576 144470 231152 274493 288940 332281 462304 548986 577880 664562 1097972 1155760 1329124 1372465 1661405 2195944 2311520 2658248 2744930 3322810 4391888 5316496 5489860 6313339 6645620 8783776 10632992 10979720 12626678 13291240 21959440 25253356 26582480 31566695 43918880 50506712 53164960 63133390 101013424 126266780 202026848 252533560 505067120 1010134240