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102295680 = 273553279
BaseRepresentation
bin1100001100011…
…10100010000000
321010111011021220
412012032202000
5202141430210
614052315040
72351333064
oct606164200
9233434256
10102295680
115281a293
122a312a80
13182686b6
14d82baa4
158ea9c70
hex618e880

102295680 has 64 divisors (see below), whose sum is σ = 326073600. Its totient is φ = 27278336.

The previous prime is 102295663. The next prime is 102295709. The reversal of 102295680 is 86592201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1022956802 = 20928812293324800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24720 + ... + 28559.

It is an arithmetic number, because the mean of its divisors is an integer number (5094900).

Almost surely, 2102295680 is an apocalyptic number.

102295680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102295680 is an abundant number, since it is smaller than the sum of its proper divisors (223777920).

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

102295680 is an equidigital number, since it uses as much as digits as its factorization.

102295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53301 (or 53289 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 102295680 is about 10114.1326864937. The cubic root of 102295680 is about 467.6839125029.

The spelling of 102295680 in words is "one hundred two million, two hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 53279 106558 159837 213116 266395 319674 426232 532790 639348 799185 852464 1065580 1278696 1598370 1704928 2131160 2557392 3196740 3409856 4262320 5114784 6393480 6819712 8524640 10229568 12786960 17049280 20459136 25573920 34098560 51147840 102295680