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130016136 = 233172231429
BaseRepresentation
bin1111011111111…
…10001110001000
3100001122111121110
413233332032020
5231241004021
620522410320
73136055535
oct757761610
9301574543
10130016136
1167433058
12376609a0
1320c22c33
14133a5d8c
15b633476
hex7bfe388

130016136 has 64 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 40578048.

The previous prime is 130016083. The next prime is 130016137. The reversal of 130016136 is 631610031.

It is not an unprimeable number, because it can be changed into a prime (130016137) 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, 90270 + ... + 91698.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2130016136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130016136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

130016136 is an abundant number, since it is smaller than the sum of its proper divisors (215929464).

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

130016136 is a wasteful number, since it uses less digits than its factorization.

130016136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 130016136 is about 11402.4618394450. The cubic root of 130016136 is about 506.6006604534.

Adding to 130016136 its reverse (631610031), we get a palindrome (761626167).

The spelling of 130016136 in words is "one hundred thirty million, sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 223 408 446 669 892 1338 1429 1784 2676 2858 3791 4287 5352 5716 7582 8574 11373 11432 15164 17148 22746 24293 30328 34296 45492 48586 72879 90984 97172 145758 194344 291516 318667 583032 637334 956001 1274668 1912002 2549336 3824004 5417339 7648008 10834678 16252017 21669356 32504034 43338712 65008068 130016136