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137823240 = 23351148527
BaseRepresentation
bin10000011011100…
…00010000001000
3100121100010221110
420031300100020
5240240320430
621402010320
73262323012
oct1015602010
9317303843
10137823240
1170885705
123a1a69a0
1322727619
14144391b2
15c1767b0
hex8370408

137823240 has 32 divisors (see below), whose sum is σ = 413470080. Its totient is φ = 36752832.

The previous prime is 137823239. The next prime is 137823251. The reversal of 137823240 is 42328731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137823198 and 137823207.

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, 574144 + ... + 574383.

It is an arithmetic number, because the mean of its divisors is an integer number (12920940).

Almost surely, 2137823240 is an apocalyptic number.

137823240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137823240 is an abundant number, since it is smaller than the sum of its proper divisors (275646840).

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

137823240 is a wasteful number, since it uses less digits than its factorization.

137823240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148541 (or 1148537 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137823240 is about 11739.8143085826. The cubic root of 137823240 is about 516.5441948122.

The spelling of 137823240 in words is "one hundred thirty-seven million, eight hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1148527 2297054 3445581 4594108 5742635 6891162 9188216 11485270 13782324 17227905 22970540 27564648 34455810 45941080 68911620 137823240