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102496912 = 2473153557
BaseRepresentation
bin1100001101111…
…11101010010000
321010212101022221
412012333222100
5202214400122
614100510424
72353131550
oct606775220
9233771287
10102496912
11529474a1
122a3ab414
131830917b
14d881160
158ee96c7
hex61bfa90

102496912 has 80 divisors (see below), whose sum is σ = 239127552. Its totient is φ = 41633280.

The previous prime is 102496909. The next prime is 102496913. The reversal of 102496912 is 219694201.

It is not an unprimeable number, because it can be changed into a prime (102496913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183738 + ... + 184294.

Almost surely, 2102496912 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 102496912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119563776).

102496912 is an abundant number, since it is smaller than the sum of its proper divisors (136630640).

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

102496912 is a wasteful number, since it uses less digits than its factorization.

102496912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 102496912 is about 10124.0758590599. The cubic root of 102496912 is about 467.9903813739.

It can be divided in two parts, 10249 and 6912, that added together give a square (17161 = 1312).

The spelling of 102496912 in words is "one hundred two million, four hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 53 56 62 106 112 124 212 217 248 371 424 434 496 557 742 848 868 1114 1484 1643 1736 2228 2968 3286 3472 3899 4456 5936 6572 7798 8912 11501 13144 15596 17267 23002 26288 29521 31192 34534 46004 59042 62384 69068 92008 118084 120869 138136 184016 206647 236168 241738 276272 413294 472336 483476 826588 915151 966952 1653176 1830302 1933904 3306352 3660604 6406057 7321208 12812114 14642416 25624228 51248456 102496912