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102048980 = 22511242169
BaseRepresentation
bin1100001010100…
…10010011010100
321010000121212212
412011102103110
5202111031410
614043132552
72346254615
oct605222324
9233017785
10102048980
1152670a00
122a214158
13181b0317
14d7a5c0c
158e5bb05
hex61524d4

102048980 has 36 divisors (see below), whose sum is σ = 235561620. Its totient is φ = 37107840.

The previous prime is 102048979. The next prime is 102049033. The reversal of 102048980 is 89840201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76667536 + 25381444 = 8756^2 + 5038^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18665 + ... + 23504.

Almost surely, 2102048980 is an apocalyptic number.

102048980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102048980 is an abundant number, since it is smaller than the sum of its proper divisors (133512640).

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

102048980 is a wasteful number, since it uses less digits than its factorization.

102048980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42200 (or 42187 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 102048980 is about 10101.9295186613. The cubic root of 102048980 is about 467.3076486655.

The spelling of 102048980 in words is "one hundred two million, forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 42169 84338 168676 210845 421690 463859 843380 927718 1855436 2319295 4638590 5102449 9277180 10204898 20409796 25512245 51024490 102048980