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102556020 = 22357234883
BaseRepresentation
bin1100001110011…
…10000101110100
321010222101102010
412013032011310
5202223243040
614102044220
72353466100
oct607160564
9233871363
10102556020
1152987946
122a419670
131832a048
14d898900
15900be80
hex61ce174

102556020 has 72 divisors (see below), whose sum is σ = 334049184. Its totient is φ = 23440704.

The previous prime is 102556009. The next prime is 102556037. The reversal of 102556020 is 20655201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14502 + ... + 20381.

It is an arithmetic number, because the mean of its divisors is an integer number (4639572).

Almost surely, 2102556020 is an apocalyptic number.

102556020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102556020 is an abundant number, since it is smaller than the sum of its proper divisors (231493164).

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

102556020 is a wasteful number, since it uses less digits than its factorization.

102556020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34909 (or 34900 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 102556020 is about 10126.9946183456. The cubic root of 102556020 is about 468.0803244406.

The spelling of 102556020 in words is "one hundred two million, five hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 34883 69766 104649 139532 174415 209298 244181 348830 418596 488362 523245 697660 732543 976724 1046490 1220905 1465086 1709267 2092980 2441810 2930172 3418534 3662715 4883620 5127801 6837068 7325430 8546335 10255602 14650860 17092670 20511204 25639005 34185340 51278010 102556020