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102704292 = 22322325393
BaseRepresentation
bin1100001111100…
…10010010100100
321011020220210200
412013302102210
5202243014132
614105150500
72354654265
oct607622244
9234226720
10102704292
1152a79289
122a48b430
131837c692
14d8d696c
15903ad7c
hex61f24a4

102704292 has 54 divisors (see below), whose sum is σ = 271442262. Its totient is φ = 32740224.

The previous prime is 102704281. The next prime is 102704299. The reversal of 102704292 is 292407201.

It can be written as a sum of positive squares in only one way, i.e., 101485476 + 1218816 = 10074^2 + 1104^2 .

It is not an unprimeable number, because it can be changed into a prime (102704299) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16348 + ... + 21740.

Almost surely, 2102704292 is an apocalyptic number.

102704292 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 102704292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135721131).

102704292 is an abundant number, since it is smaller than the sum of its proper divisors (168737970).

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

102704292 is a wasteful number, since it uses less digits than its factorization.

102704292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102704292 is about 10134.3126061909. The cubic root of 102704292 is about 468.3057940125.

The spelling of 102704292 in words is "one hundred two million, seven hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 5393 6348 9522 10786 16179 19044 21572 32358 48537 64716 97074 124039 194148 248078 372117 496156 744234 1116351 1488468 2232702 2852897 4465404 5705794 8558691 11411588 17117382 25676073 34234764 51352146 102704292