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102875296 = 2517296521
BaseRepresentation
bin1100010000111…
…00000010100000
321011120121101011
412020130002200
5202314002141
614112550304
72356265656
oct610340240
9234517334
10102875296
1153085807
122a552394
131840c474
14d93cdd6
159071881
hex621c0a0

102875296 has 48 divisors (see below), whose sum is σ = 221878440. Its totient is φ = 46735360.

The previous prime is 102875287. The next prime is 102875299. The reversal of 102875296 is 692578201.

It can be written as a sum of positive squares in 4 ways, for example, as 102819600 + 55696 = 10140^2 + 236^2 .

It is not an unprimeable number, because it can be changed into a prime (102875299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12516 + ... + 19036.

Almost surely, 2102875296 is an apocalyptic number.

102875296 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 102875296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110939220).

102875296 is an abundant number, since it is smaller than the sum of its proper divisors (119003144).

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

102875296 is a wasteful number, since it uses less digits than its factorization.

102875296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 102875296 is about 10142.7459792701. The cubic root of 102875296 is about 468.5655616670.

The spelling of 102875296 in words is "one hundred two million, eight hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 6521 7888 13042 15776 26084 52168 104336 110857 189109 208672 221714 378218 443428 756436 886856 1512872 1773712 3025744 3214853 3547424 6051488 6429706 12859412 25718824 51437648 102875296