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130327272 = 23332692243
BaseRepresentation
bin1111100010010…
…10001011101000
3100002020022102000
413301022023220
5231330433042
620533211000
73141522615
oct761121350
9302208360
10130327272
1167625899
1237790a60
132100173a
141344750c
15b69574c
hex7c4a2e8

130327272 has 64 divisors (see below), whose sum is σ = 363528000. Its totient is φ = 43261632.

The previous prime is 130327271. The next prime is 130327291. The reversal of 130327272 is 272723031.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (130327271) by changing a digit.

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, 56983 + ... + 59225.

It is an arithmetic number, because the mean of its divisors is an integer number (5680125).

Almost surely, 2130327272 is an apocalyptic number.

130327272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130327272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181764000).

130327272 is an abundant number, since it is smaller than the sum of its proper divisors (233200728).

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

130327272 is a wasteful number, since it uses less digits than its factorization.

130327272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 130327272 is about 11416.0970563499. The cubic root of 130327272 is about 507.0044465840.

The spelling of 130327272 in words is "one hundred thirty million, three hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1076 1614 2152 2243 2421 3228 4486 4842 6456 6729 7263 8972 9684 13458 14526 17944 19368 20187 26916 29052 40374 53832 58104 60561 80748 121122 161496 242244 484488 603367 1206734 1810101 2413468 3620202 4826936 5430303 7240404 10860606 14480808 16290909 21721212 32581818 43442424 65163636 130327272