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130136472 = 233219251379
BaseRepresentation
bin1111100000110…
…11100110011000
3100001212121200100
413300123212120
5231303331342
620525135400
73140066424
oct760334630
9301777610
10130136472
1167505504
12376ba560
1320c6593b
14133d7b84
15b658e4c
hex7c1b998

130136472 has 96 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 40824000.

The previous prime is 130136471. The next prime is 130136509. The reversal of 130136472 is 274631031.

130136472 is a `hidden beast` number, since 1 + 3 + 0 + 13 + 647 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130136471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343179 + ... + 343557.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2130136472 is an apocalyptic number.

130136472 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 130136472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

130136472 is an abundant number, since it is smaller than the sum of its proper divisors (243327528).

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

130136472 is a wasteful number, since it uses less digits than its factorization.

130136472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130136472 is about 11407.7373742561. The cubic root of 130136472 is about 506.7569064415.

It can be divided in two parts, 1301 and 36472, that added together give a palindrome (37773).

The spelling of 130136472 in words is "one hundred thirty million, one hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 251 342 379 456 502 684 753 758 1004 1137 1368 1506 1516 2008 2259 2274 3012 3032 3411 4518 4548 4769 6024 6822 7201 9036 9096 9538 13644 14307 14402 18072 19076 21603 27288 28614 28804 38152 42921 43206 57228 57608 64809 85842 86412 95129 114456 129618 171684 172824 190258 259236 285387 343368 380516 518472 570774 761032 856161 1141548 1712322 1807451 2283096 3424644 3614902 5422353 6849288 7229804 10844706 14459608 16267059 21689412 32534118 43378824 65068236 130136472