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100689372 = 22337133187
BaseRepresentation
bin1100000000001…
…10010111011100
321000110112212000
412000012113130
5201234024442
613554042300
72331563010
oct600062734
9230415760
10100689372
1151922463
1229879390
1317b25514
14d530540
158c8dd4c
hex60065dc

100689372 has 48 divisors (see below), whose sum is σ = 298341120. Its totient is φ = 28768176.

The previous prime is 100689361. The next prime is 100689389. The reversal of 100689372 is 273986001.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 65838 + ... + 67349.

It is an arithmetic number, because the mean of its divisors is an integer number (6215440).

Almost surely, 2100689372 is an apocalyptic number.

100689372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100689372 is an abundant number, since it is smaller than the sum of its proper divisors (197651748).

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

100689372 is a wasteful number, since it uses less digits than its factorization.

100689372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133207 (or 133199 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100689372 is about 10034.4093996607. The cubic root of 100689372 is about 465.2230355645.

The spelling of 100689372 in words is "one hundred million, six hundred eighty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 133187 266374 399561 532748 799122 932309 1198683 1598244 1864618 2397366 2796927 3596049 3729236 4794732 5593854 7192098 8390781 11187708 14384196 16781562 25172343 33563124 50344686 100689372