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104694912 = 2732712983
BaseRepresentation
bin1100011110110…
…00010010000000
321022000001102100
412033120102000
5203300214122
614215550400
72410614660
oct617302200
9238001370
10104694912
1154108923
122b08b400
13188c876a
14dc941a0
1592d0aac
hex63d8480

104694912 has 96 divisors (see below), whose sum is σ = 344335680. Its totient is φ = 29910528.

The previous prime is 104694893. The next prime is 104694943. The reversal of 104694912 is 219496401.

It is a happy number.

104694912 is a `hidden beast` number, since 104 + 69 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1046949122 = 21922049197375488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1573 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (3586830).

Almost surely, 2104694912 is an apocalyptic number.

104694912 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 104694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172167840).

104694912 is an abundant number, since it is smaller than the sum of its proper divisors (239640768).

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

104694912 is a wasteful number, since it uses less digits than its factorization.

104694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 104694912 is about 10232.0531663982. The cubic root of 104694912 is about 471.3120303818.

The spelling of 104694912 in words is "one hundred four million, six hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 12983 25966 38949 51932 77898 90881 103864 116847 155796 181762 207728 233694 272643 311592 363524 415456 467388 545286 623184 727048 817929 830912 934776 1090572 1246368 1454096 1635858 1661824 1869552 2181144 2492736 2908192 3271716 3739104 4362288 4985472 5816384 6543432 7478208 8724576 11632768 13086864 14956416 17449152 26173728 34898304 52347456 104694912