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130715520 = 2735135237
BaseRepresentation
bin1111100101010…
…00111110000000
3100002222000222120
413302220332000
5231430344040
620545404240
73145030545
oct762507600
9302860876
10130715520
1167870561
1237939680
1321109380
1413508bcc
15b7207d0
hex7ca8f80

130715520 has 128 divisors (see below), whose sum is σ = 448791840. Its totient is φ = 32169984.

The previous prime is 130715489. The next prime is 130715521. The reversal of 130715520 is 25517031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130715521) 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, 22342 + ... + 27578.

Almost surely, 2130715520 is an apocalyptic number.

130715520 is a gapful number since it is divisible by the number (10) 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 130715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224395920).

130715520 is an abundant number, since it is smaller than the sum of its proper divisors (318076320).

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

130715520 is a wasteful number, since it uses less digits than its factorization.

130715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 130715520 is about 11433.0888214865. The cubic root of 130715520 is about 507.5074068499.

The spelling of 130715520 in words is "one hundred thirty million, seven hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 5237 6240 8320 10474 12480 15711 20948 24960 26185 31422 41896 52370 62844 68081 78555 83792 104740 125688 136162 157110 167584 204243 209480 251376 272324 314220 335168 340405 408486 418960 502752 544648 628440 670336 680810 816972 837920 1005504 1021215 1089296 1256880 1361620 1633944 1675840 2011008 2042430 2178592 2513760 2723240 3267888 3351680 4084860 4357184 5027520 5446480 6535776 8169720 8714368 10055040 10892960 13071552 16339440 21785920 26143104 32678880 43571840 65357760 130715520