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104167044 = 223219672273
BaseRepresentation
bin1100011010101…
…11011010000100
321021000020022200
412031113122010
5203131321134
614200354500
72403256002
oct615273204
9237006280
10104167044
1153888273
122aa75a30
1318772407
14db97a72
159229499
hex6357684

104167044 has 72 divisors (see below), whose sum is σ = 281430240. Its totient is φ = 32389632.

The previous prime is 104167031. The next prime is 104167061. The reversal of 104167044 is 440761401.

It is a junction number, because it is equal to n+sod(n) for n = 104166999 and 104167017.

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 23 ways as a sum of consecutive naturals, for example, 44692 + ... + 46964.

Almost surely, 2104167044 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 104167044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140715120).

104167044 is an abundant number, since it is smaller than the sum of its proper divisors (177263196).

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

104167044 is a wasteful number, since it uses less digits than its factorization.

104167044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104167044 is about 10206.2257470624. The cubic root of 104167044 is about 470.5185825746.

The spelling of 104167044 in words is "one hundred four million, one hundred sixty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2273 2412 2546 3819 4546 5092 6819 7638 9092 11457 13638 15276 20457 22914 27276 40914 43187 45828 81828 86374 129561 152291 172748 259122 304582 388683 456873 518244 609164 777366 913746 1370619 1554732 1827492 2741238 2893529 5482476 5787058 8680587 11574116 17361174 26041761 34722348 52083522 104167044