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137976040 = 23531111271
BaseRepresentation
bin10000011100101…
…01100011101000
3100121121220112201
420032111203220
5240310213130
621405145544
73263530336
oct1016254350
9317556481
10137976040
117097a494
123a25b2b4
132277c037
1414478b56
15c1a6bca
hex83958e8

137976040 has 32 divisors (see below), whose sum is σ = 320463360. Its totient is φ = 53409600.

The previous prime is 137976017. The next prime is 137976073. The reversal of 137976040 is 40679731.

It is a super-2 number, since 2×1379760402 = 38074775228163200, which contains 22 as substring.

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, 54396 + ... + 56875.

It is an arithmetic number, because the mean of its divisors is an integer number (10014480).

Almost surely, 2137976040 is an apocalyptic number.

137976040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137976040 is an abundant number, since it is smaller than the sum of its proper divisors (182487320).

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

137976040 is a wasteful number, since it uses less digits than its factorization.

137976040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111313 (or 111309 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 137976040 is about 11746.3202748776. The cubic root of 137976040 is about 516.7350160473.

The spelling of 137976040 in words is "one hundred thirty-seven million, nine hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 111271 222542 445084 556355 890168 1112710 2225420 3449401 4450840 6898802 13797604 17247005 27595208 34494010 68988020 137976040