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104193504 = 25323311093
BaseRepresentation
bin1100011010111…
…01110111100000
321021001120121200
412031131313200
5203133143004
614201121200
72403426102
oct615356740
9237046550
10104193504
11538a6138
122aa89200
131878147c
14dba3572
159232239
hex635dde0

104193504 has 72 divisors (see below), whose sum is σ = 297467352. Its totient is φ = 34594560.

The previous prime is 104193503. The next prime is 104193533. The reversal of 104193504 is 405391401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104193503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94782 + ... + 95874.

It is an arithmetic number, because the mean of its divisors is an integer number (4131491).

Almost surely, 2104193504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148733676).

104193504 is an abundant number, since it is smaller than the sum of its proper divisors (193273848).

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

104193504 is a wasteful number, since it uses less digits than its factorization.

104193504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104193504 is about 10207.5219323791. The cubic root of 104193504 is about 470.5584188069.

The spelling of 104193504 in words is "one hundred four million, one hundred ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331 662 993 1093 1324 1986 2186 2648 2979 3279 3972 4372 5296 5958 6558 7944 8744 9837 10592 11916 13116 15888 17488 19674 23832 26232 31776 34976 39348 47664 52464 78696 95328 104928 157392 314784 361783 723566 1085349 1447132 2170698 2894264 3256047 4341396 5788528 6512094 8682792 11577056 13024188 17365584 26048376 34731168 52096752 104193504