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130572816 = 24311673691
BaseRepresentation
bin1111100100001…
…10001000010000
3100002200210020020
413302012020100
5231411312231
620542343440
73143564523
oct762061020
9302623206
10130572816
1167783320
123788ab80
132108942a
14134acbba
15b6e3396
hex7c86210

130572816 has 80 divisors (see below), whose sum is σ = 373571328. Its totient is φ = 38966400.

The previous prime is 130572787. The next prime is 130572833. The reversal of 130572816 is 618275031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33531 + ... + 37221.

Almost surely, 2130572816 is an apocalyptic number.

130572816 is a gapful number since it is divisible by the number (16) 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 130572816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186785664).

130572816 is an abundant number, since it is smaller than the sum of its proper divisors (242998512).

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

130572816 is a wasteful number, since it uses less digits than its factorization.

130572816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 130572816 is about 11426.8462840803. The cubic root of 130572816 is about 507.3226552403.

The spelling of 130572816 in words is "one hundred thirty million, five hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2948 3216 3691 4422 5896 7382 8844 11073 11792 14764 17688 22146 29528 35376 40601 44292 59056 81202 88584 121803 162404 177168 243606 247297 324808 487212 494594 649616 741891 974424 989188 1483782 1948848 1978376 2720267 2967564 3956752 5440534 5935128 8160801 10881068 11870256 16321602 21762136 32643204 43524272 65286408 130572816