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130296672 = 25321123739
BaseRepresentation
bin1111100010000…
…10101101100000
3100002011202102200
413301002231200
5231323443142
620532413200
73141334452
oct761025540
9302152380
10130296672
1167604900
1237777200
1320cc082c
141343a2d2
15b68b64c
hex7c42b60

130296672 has 108 divisors (see below), whose sum is σ = 407386980. Its totient is φ = 39473280.

The previous prime is 130296667. The next prime is 130296697. The reversal of 130296672 is 276692031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32979 + ... + 36717.

Almost surely, 2130296672 is an apocalyptic number.

130296672 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 130296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203693490).

130296672 is an abundant number, since it is smaller than the sum of its proper divisors (277090308).

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

130296672 is a wasteful number, since it uses less digits than its factorization.

130296672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130296672 is about 11414.7567648198. The cubic root of 130296672 is about 506.9647630238.

It can be divided in two parts, 13029 and 6672, that added together give a triangular number (19701 = T198).

The spelling of 130296672 in words is "one hundred thirty million, two hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3739 3872 4356 5808 7478 8712 11217 11616 14956 17424 22434 29912 33651 34848 41129 44868 59824 67302 82258 89736 119648 123387 134604 164516 179472 246774 269208 329032 358944 370161 452419 493548 538416 658064 740322 904838 987096 1076832 1316128 1357257 1480644 1809676 1974192 2714514 2961288 3619352 3948384 4071771 5429028 5922576 7238704 8143542 10858056 11845152 14477408 16287084 21716112 32574168 43432224 65148336 130296672