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315136530 = 232579127349
BaseRepresentation
bin10010110010001…
…001101000010010
3210221222121001100
4102302021220102
51121133332110
651134245230
710544421252
oct2262115022
9727877040
10315136530
11151982815
1289656816
135039a627
142dbd3962
151c9edbc0
hex12c89a12

315136530 has 96 divisors (see below), whose sum is σ = 838656000. Its totient is φ = 82083456.

The previous prime is 315136517. The next prime is 315136543. The reversal of 315136530 is 35631513.

315136530 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 3 + 653 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (315136517) and next prime (315136543).

It is a super-2 number, since 2×3151365302 = 198622065080881800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315136494 and 315136503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902796 + ... + 903144.

It is an arithmetic number, because the mean of its divisors is an integer number (8736000).

Almost surely, 2315136530 is an apocalyptic number.

315136530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315136530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328000).

315136530 is an abundant number, since it is smaller than the sum of its proper divisors (523519470).

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

315136530 is a wasteful number, since it uses less digits than its factorization.

315136530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 315136530 is about 17752.0852296287. The cubic root of 315136530 is about 680.5075003272.

The spelling of 315136530 in words is "three hundred fifteen million, one hundred thirty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 127 158 237 254 349 381 395 474 635 698 711 762 790 1047 1143 1185 1270 1422 1745 1905 2094 2286 2370 3141 3490 3555 3810 5235 5715 6282 7110 10033 10470 11430 15705 20066 27571 30099 31410 44323 50165 55142 60198 82713 88646 90297 100330 132969 137855 150495 165426 180594 221615 248139 265938 275710 300990 398907 413565 443230 451485 496278 664845 797814 827130 902970 1240695 1329690 1994535 2481390 3501517 3989070 7003034 10504551 17507585 21009102 31513653 35015170 52522755 63027306 105045510 157568265 315136530