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102950256 = 24331431609
BaseRepresentation
bin1100010001011…
…10010101110000
321011201102012110
412020232111300
5202323402011
614114325320
72360030343
oct610562560
9234642173
10102950256
1153127062
122a589840
1318437616
14d95c45a
159088ba6
hex622e570

102950256 has 80 divisors (see below), whose sum is σ = 281093120. Its totient is φ = 32417280.

The previous prime is 102950233. The next prime is 102950269. The reversal of 102950256 is 652059201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63180 + ... + 64788.

It is an arithmetic number, because the mean of its divisors is an integer number (3513664).

Almost surely, 2102950256 is an apocalyptic number.

102950256 is a gapful number since it is divisible by the number (16) 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 102950256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140546560).

102950256 is an abundant number, since it is smaller than the sum of its proper divisors (178142864).

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

102950256 is a wasteful number, since it uses less digits than its factorization.

102950256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 102950256 is about 10146.4405581465. The cubic root of 102950256 is about 468.6793406738.

The spelling of 102950256 in words is "one hundred two million, nine hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 744 1032 1333 1488 1609 2064 2666 3218 3999 4827 5332 6436 7998 9654 10664 12872 15996 19308 21328 25744 31992 38616 49879 63984 69187 77232 99758 138374 149637 199516 207561 276748 299274 399032 415122 553496 598548 798064 830244 1106992 1197096 1660488 2144797 2394192 3320976 4289594 6434391 8579188 12868782 17158376 25737564 34316752 51475128 102950256