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137989980 = 2235528393
BaseRepresentation
bin10000011100110…
…00111101011100
3100121122121200000
420032120331130
5240311134410
621405334300
73263616102
oct1016307534
9317577600
10137989980
1170989a07
123a267390
132278549b
141447dc72
15c1aadc0
hex8398f5c

137989980 has 72 divisors (see below), whose sum is σ = 434087472. Its totient is φ = 36796032.

The previous prime is 137989931. The next prime is 137990059. The reversal of 137989980 is 89989731.

137989980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 9337 + ... + 19056.

Almost surely, 2137989980 is an apocalyptic number.

137989980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137989980 is an abundant number, since it is smaller than the sum of its proper divisors (296097492).

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

137989980 is a wasteful number, since it uses less digits than its factorization.

137989980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28417 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 137989980 is about 11746.9136372070. The cubic root of 137989980 is about 516.7524177246.

The spelling of 137989980 in words is "one hundred thirty-seven million, nine hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 28393 56786 85179 113572 141965 170358 255537 283930 340716 425895 511074 567860 766611 851790 1022148 1277685 1533222 1703580 2299833 2555370 3066444 3833055 4599666 5110740 6899499 7666110 9199332 11499165 13798998 15332220 22998330 27597996 34497495 45996660 68994990 137989980