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104613520 = 24511532243
BaseRepresentation
bin1100011110001…
…00011010010000
321021211220202211
412033010122100
5203240113040
614214121504
72410125454
oct617043220
9237756684
10104613520
1154062760
122b050294
131889a6bb
14dc72664
1592b68ea
hex63c4690

104613520 has 80 divisors (see below), whose sum is σ = 270464832. Its totient is φ = 37306880.

The previous prime is 104613517. The next prime is 104613533. The reversal of 104613520 is 25316401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 104613491 and 104613500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45519 + ... + 47761.

Almost surely, 2104613520 is an apocalyptic number.

104613520 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 104613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135232416).

104613520 is an abundant number, since it is smaller than the sum of its proper divisors (165851312).

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

104613520 is a wasteful number, since it uses less digits than its factorization.

104613520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 104613520 is about 10228.0750877181. The cubic root of 104613520 is about 471.1898627959.

Adding to 104613520 its reverse (25316401), we get a palindrome (129929921).

The spelling of 104613520 in words is "one hundred four million, six hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2243 2332 2915 4240 4486 4664 5830 8972 9328 11215 11660 17944 22430 23320 24673 35888 44860 46640 49346 89720 98692 118879 123365 179440 197384 237758 246730 394768 475516 493460 594395 951032 986920 1188790 1307669 1902064 1973840 2377580 2615338 4755160 5230676 6538345 9510320 10461352 13076690 20922704 26153380 52306760 104613520