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130628136 = 233171272521
BaseRepresentation
bin1111100100100…
…11101000101000
3100002210121010010
413302103220220
5231420100021
620543451520
73144215022
oct762235050
9302717103
10130628136
1167810941
12378b6ba0
13210a8672
14134c5012
15b704976
hex7c93a28

130628136 has 64 divisors (see below), whose sum is σ = 348641280. Its totient is φ = 40642560.

The previous prime is 130628129. The next prime is 130628149. The reversal of 130628136 is 631826031.

130628136 = 27642 + 27652 + ... + 27802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50556 + ... + 53076.

It is an arithmetic number, because the mean of its divisors is an integer number (5447520).

Almost surely, 2130628136 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 130628136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174320640).

130628136 is an abundant number, since it is smaller than the sum of its proper divisors (218013144).

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

130628136 is a wasteful number, since it uses less digits than its factorization.

130628136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 130628136 is about 11429.2666431403. The cubic root of 130628136 is about 507.3942911995.

The spelling of 130628136 in words is "one hundred thirty million, six hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 508 762 1016 1524 2159 2521 3048 4318 5042 6477 7563 8636 10084 12954 15126 17272 20168 25908 30252 42857 51816 60504 85714 128571 171428 257142 320167 342856 514284 640334 960501 1028568 1280668 1921002 2561336 3842004 5442839 7684008 10885678 16328517 21771356 32657034 43542712 65314068 130628136