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104580112 = 24721331331
BaseRepresentation
bin1100011101111…
…00010000010000
321021210012221111
412032330100100
5203233030422
614213303104
72406626200
oct616742020
9237705844
10104580112
115403a64a
122b034a94
1318888430
14dc64400
1592aba77
hex63bc410

104580112 has 120 divisors (see below), whose sum is σ = 262816512. Its totient is φ = 39916800.

The previous prime is 104580101. The next prime is 104580131. The reversal of 104580112 is 211085401.

It is a nialpdrome in base 14.

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 23 ways as a sum of consecutive naturals, for example, 315787 + ... + 316117.

Almost surely, 2104580112 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 104580112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131408256).

104580112 is an abundant number, since it is smaller than the sum of its proper divisors (158236400).

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

104580112 is a wasteful number, since it uses less digits than its factorization.

104580112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 104580112 is about 10226.4418054375. The cubic root of 104580112 is about 471.1396997867.

The spelling of 104580112 in words is "one hundred four million, five hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 91 98 104 112 124 182 196 208 217 248 331 364 392 403 434 496 637 662 728 784 806 868 1274 1324 1456 1519 1612 1736 2317 2548 2648 2821 3038 3224 3472 4303 4634 5096 5296 5642 6076 6448 8606 9268 10192 10261 11284 12152 16219 17212 18536 19747 20522 22568 24304 30121 32438 34424 37072 39494 41044 45136 60242 64876 68848 71827 78988 82088 120484 129752 133393 143654 157976 164176 210847 240968 259504 266786 287308 315952 421694 481936 502789 533572 574616 843388 933751 1005578 1067144 1149232 1686776 1867502 2011156 2134288 3373552 3735004 4022312 6536257 7470008 8044624 13072514 14940016 26145028 52290056 104580112