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102732680 = 2359372741
BaseRepresentation
bin1100001111110…
…01001110001000
321011022100202002
412013321032020
5202244421210
614105530132
72355133121
oct607711610
9234270662
10102732680
1152a98646
122a4a3948
131838c58b
14d903048
1590444a5
hex61f9388

102732680 has 32 divisors (see below), whose sum is σ = 231479640. Its totient is φ = 41034240.

The previous prime is 102732673. The next prime is 102732701. The reversal of 102732680 is 86237201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45185284 + 57547396 = 6722^2 + 7586^2 .

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 7 ways as a sum of consecutive naturals, for example, 36110 + ... + 38850.

Almost surely, 2102732680 is an apocalyptic number.

102732680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102732680 is an abundant number, since it is smaller than the sum of its proper divisors (128746960).

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

102732680 is a wasteful number, since it uses less digits than its factorization.

102732680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 102732680 is about 10135.7130977549. The cubic root of 102732680 is about 468.3489374227.

Adding to 102732680 its reverse (86237201), we get a palindrome (188969881).

The spelling of 102732680 in words is "one hundred two million, seven hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 937 1874 2741 3748 4685 5482 7496 9370 10964 13705 18740 21928 27410 37480 54820 109640 2568317 5136634 10273268 12841585 20546536 25683170 51366340 102732680