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104977392 = 24313212941
BaseRepresentation
bin1100100000111…
…01001111110000
321022112101220120
412100131033300
5203333234032
614230010240
72413202352
oct620351760
9238471816
10104977392
1154291083
122b1a6980
1318997200
14dd290d2
15933962c
hex641d3f0

104977392 has 60 divisors (see below), whose sum is σ = 293679864. Its totient is φ = 32298240.

The previous prime is 104977381. The next prime is 104977417. The reversal of 104977392 is 293779401.

It is a super-2 number, since 2×1049773922 = 22040505662243328, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1642 + ... + 14582.

Almost surely, 2104977392 is an apocalyptic number.

104977392 is a gapful number since it is divisible by the number (12) 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 104977392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146839932).

104977392 is an abundant number, since it is smaller than the sum of its proper divisors (188702472).

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

104977392 is a wasteful number, since it uses less digits than its factorization.

104977392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12978 (or 12959 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 104977392 is about 10245.8475491294. The cubic root of 104977392 is about 471.7355360376.

The spelling of 104977392 in words is "one hundred four million, nine hundred seventy-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 12941 25882 38823 51764 77646 103528 155292 168233 207056 310584 336466 504699 621168 672932 1009398 1345864 2018796 2187029 2691728 4037592 4374058 6561087 8075184 8748116 13122174 17496232 26244348 34992464 52488696 104977392