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137429530 = 25717532179
BaseRepresentation
bin10000011000100…
…00001000011010
3100120121010212121
420030100020122
5240140221110
621345331454
73256063120
oct1014201032
9316533777
10137429530
1170636927
123a036b8a
132261a364
1414375910
15c0e9cda
hex831021a

137429530 has 64 divisors (see below), whose sum is σ = 305130240. Its totient is φ = 43490304.

The previous prime is 137429519. The next prime is 137429533. The reversal of 137429530 is 35924731.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (137429533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61981 + ... + 64159.

It is an arithmetic number, because the mean of its divisors is an integer number (4767660).

Almost surely, 2137429530 is an apocalyptic number.

137429530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137429530 is an abundant number, since it is smaller than the sum of its proper divisors (167700710).

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

137429530 is a wasteful number, since it uses less digits than its factorization.

137429530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 137429530 is about 11723.0341635602. The cubic root of 137429530 is about 516.0518671697.

The spelling of 137429530 in words is "one hundred thirty-seven million, four hundred twenty-nine thousand, five hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 53 70 85 106 119 170 238 265 371 530 595 742 901 1190 1802 1855 2179 3710 4358 4505 6307 9010 10895 12614 15253 21790 30506 31535 37043 63070 74086 76265 115487 152530 185215 230974 259301 370430 518602 577435 808409 1154870 1296505 1616818 1963279 2593010 3926558 4042045 8084090 9816395 13742953 19632790 27485906 68714765 137429530