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130406136 = 23372333749
BaseRepresentation
bin1111100010111…
…01011011111000
3100002101022120220
413301131123320
5231340444021
620535020040
73142301550
oct761353370
9302338526
10130406136
116767a073
123780a620
132102b5c3
1413468160
15b6adcc6
hex7c5d6f8

130406136 has 64 divisors (see below), whose sum is σ = 388800000. Its totient is φ = 35637888.

The previous prime is 130406131. The next prime is 130406147. The reversal of 130406136 is 631604031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130406131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13011 + ... + 20738.

It is an arithmetic number, because the mean of its divisors is an integer number (6075000).

Almost surely, 2130406136 is an apocalyptic number.

It is an amenable number.

130406136 is an abundant number, since it is smaller than the sum of its proper divisors (258393864).

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

130406136 is a wasteful number, since it uses less digits than its factorization.

130406136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33784 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130406136 is about 11419.5506041175. The cubic root of 130406136 is about 507.1066926082.

The spelling of 130406136 in words is "one hundred thirty million, four hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 33749 67498 101247 134996 202494 236243 269992 404988 472486 708729 776227 809976 944972 1417458 1552454 1889944 2328681 2834916 3104908 4657362 5433589 5669832 6209816 9314724 10867178 16300767 18629448 21734356 32601534 43468712 65203068 130406136