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130658112 = 26321317449
BaseRepresentation
bin1111100100110…
…10111101000000
3100002212010020100
413302122331000
5231422024422
620544242400
73144401304
oct762327500
9302763210
10130658112
1167831412
1237910400
13210b91c0
14134d1d04
15b70d7ac
hex7c9af40

130658112 has 84 divisors (see below), whose sum is σ = 403339300. Its totient is φ = 40200192.

The previous prime is 130658111. The next prime is 130658113. The reversal of 130658112 is 211856031.

130658112 is a `hidden beast` number, since 1 + 3 + 0 + 658 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130658111) and next prime (130658113).

It can be written as a sum of positive squares in 2 ways, for example, as 85821696 + 44836416 = 9264^2 + 6696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130658111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1237 + ... + 16212.

Almost surely, 2130658112 is an apocalyptic number.

130658112 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 130658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201669650).

130658112 is an abundant number, since it is smaller than the sum of its proper divisors (272681188).

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

130658112 is a wasteful number, since it uses less digits than its factorization.

130658112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17467 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 130658112 is about 11430.5779381447. The cubic root of 130658112 is about 507.4330998065.

The spelling of 130658112 in words is "one hundred thirty million, six hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 17449 34898 52347 69796 104694 139592 157041 209388 226837 279184 314082 418776 453674 558368 628164 680511 837552 907348 1116736 1256328 1361022 1675104 1814696 2041533 2512656 2722044 3350208 3629392 4083066 5025312 5444088 7258784 8166132 10050624 10888176 14517568 16332264 21776352 32664528 43552704 65329056 130658112