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102157352 = 231117232969
BaseRepresentation
bin1100001011011…
…00110000101000
321010020010112122
412011230300220
5202123013402
614045330412
72350215563
oct605546050
9233203478
10102157352
1152735370
122a266a08
131821a74b
14d7d34da
158e7dca2
hex616cc28

102157352 has 64 divisors (see below), whose sum is σ = 230947200. Its totient is φ = 41789440.

The previous prime is 102157339. The next prime is 102157387. The reversal of 102157352 is 253751201.

It is a super-2 number, since 2×1021573522 = 20872249135303808, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 32924 + ... + 35892.

It is an arithmetic number, because the mean of its divisors is an integer number (3608550).

Almost surely, 2102157352 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 102157352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115473600).

102157352 is an abundant number, since it is smaller than the sum of its proper divisors (128789848).

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

102157352 is a wasteful number, since it uses less digits than its factorization.

102157352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 102157352 is about 10107.2920211103. The cubic root of 102157352 is about 467.4730109197.

The spelling of 102157352 in words is "one hundred two million, one hundred fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 1012 1496 1564 2024 2969 3128 4301 5938 8602 11876 17204 23752 32659 34408 50473 65318 68287 100946 130636 136574 201892 261272 273148 403784 546296 555203 751157 1110406 1160879 1502314 2220812 2321758 3004628 4441624 4643516 6009256 9287032 12769669 25539338 51078676 102157352