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102732880 = 2454131321
BaseRepresentation
bin1100001111110…
…01010001010000
321011022101000111
412013321101100
5202244423010
614105531104
72355133525
oct607712120
9234271014
10102732880
1152a98808
122a4a3a94
131838c6b3
14d90314c
15904458a
hex61f9450

102732880 has 40 divisors (see below), whose sum is σ = 244687464. Its totient is φ = 40089600.

The previous prime is 102732859. The next prime is 102732893. The reversal of 102732880 is 88237201.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 102333456 = 632^2 + 10116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 12381 + ... + 18940.

Almost surely, 2102732880 is an apocalyptic number.

102732880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102732880 is an abundant number, since it is smaller than the sum of its proper divisors (141954584).

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

102732880 is a wasteful number, since it uses less digits than its factorization.

102732880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31375 (or 31369 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 102732880 is about 10135.7229638541. The cubic root of 102732880 is about 468.3492413498.

The spelling of 102732880 in words is "one hundred two million, seven hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 31321 62642 125284 156605 250568 313210 501136 626420 1252840 1284161 2505680 2568322 5136644 6420805 10273288 12841610 20546576 25683220 51366440 102732880