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137727730 = 2572319067
BaseRepresentation
bin10000011010110…
…00111011110010
3100121011021221001
420031120323302
5240224241410
621355552214
73261444400
oct1015307362
9317137831
10137727730
117081a978
123a15b66a
13226c2cca
1414412470
15c15833a
hex8358ef2

137727730 has 48 divisors (see below), whose sum is σ = 297720576. Its totient is φ = 45692640.

The previous prime is 137727721. The next prime is 137727743. The reversal of 137727730 is 37727731.

It is a happy number.

137727730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1377277302 = 37937855221905800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137727730.

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, 10657 + ... + 19723.

It is an arithmetic number, because the mean of its divisors is an integer number (6202512).

Almost surely, 2137727730 is an apocalyptic number.

137727730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137727730 is an abundant number, since it is smaller than the sum of its proper divisors (159992846).

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

137727730 is a wasteful number, since it uses less digits than its factorization.

137727730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 37.

The square root of 137727730 is about 11735.7458220601. The cubic root of 137727730 is about 516.4248474107.

Subtracting from 137727730 its reverse (37727731), we obtain a palindrome (99999999).

The spelling of 137727730 in words is "one hundred thirty-seven million, seven hundred twenty-seven thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 1085 1519 2170 3038 7595 9067 15190 18134 45335 63469 90670 126938 281077 317345 444283 562154 634690 888566 1405385 1967539 2221415 2810770 3935078 4442830 9837695 13772773 19675390 27545546 68863865 137727730