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130605237 = 3372175807
BaseRepresentation
bin1111100100011…
…10000010110101
3100002202102201000
413302032002311
5231413331422
620543153513
73144061200
oct762160265
9302672630
10130605237
11677a5714
12378a5899
132109b109
14134ba937
15b6eccac
hex7c8e0b5

130605237 has 48 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 70229376.

The previous prime is 130605229. The next prime is 130605239. The reversal of 130605237 is 732506031.

It is a happy number.

130605237 is a `hidden beast` number, since 1 + 30 + 605 + 23 + 7 = 666.

It is not a de Polignac number, because 130605237 - 23 = 130605229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130605237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130605239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19588 + ... + 25394.

It is an arithmetic number, because the mean of its divisors is an integer number (4965840).

Almost surely, 2130605237 is an apocalyptic number.

130605237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130605237 is a deficient number, since it is larger than the sum of its proper divisors (107755083).

130605237 is a wasteful number, since it uses less digits than its factorization.

130605237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130605237 is about 11428.2648289231. The cubic root of 130605237 is about 507.3646408724.

The spelling of 130605237 in words is "one hundred thirty million, six hundred five thousand, two hundred thirty-seven".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 5807 7497 17421 22491 40649 52263 98719 121947 156789 284543 296157 365841 691033 853629 888471 1097523 2073099 2560887 2665413 4837231 6219297 7682661 14511693 18657891 43535079 130605237