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135627660 = 223257107641
BaseRepresentation
bin10000001010110…
…00001110001100
3100110012121011200
420011120032030
5234210041120
621242545500
73234546630
oct1005301614
9313177150
10135627660
116a616083
1239508290
132213916c
1414026dc0
15bd90e90
hex815838c

135627660 has 72 divisors (see below), whose sum is σ = 470180256. Its totient is φ = 31000320.

The previous prime is 135627629. The next prime is 135627677. The reversal of 135627660 is 66726531.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52561 + ... + 55080.

Almost surely, 2135627660 is an apocalyptic number.

135627660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135627660 is an abundant number, since it is smaller than the sum of its proper divisors (334552596).

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

135627660 is a wasteful number, since it uses less digits than its factorization.

135627660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107663 (or 107658 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135627660 is about 11645.9289024105. The cubic root of 135627660 is about 513.7865798807.

The spelling of 135627660 in words is "one hundred thirty-five million, six hundred twenty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 107641 215282 322923 430564 538205 645846 753487 968769 1076410 1291692 1506974 1614615 1937538 2152820 2260461 3013948 3229230 3767435 3875076 4520922 4843845 6458460 6781383 7534870 9041844 9687690 11302305 13562766 15069740 19375380 22604610 27125532 33906915 45209220 67813830 135627660