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307131520 = 2751728229
BaseRepresentation
bin10010010011100…
…111010010000000
3210101220220020111
4102103213102000
51112111202040
650250521104
710416401113
oct2223472200
9711826214
10307131520
11148405503
1286a36194
134b826b37
142cb0c57a
151be6bdea
hex124e7480

307131520 has 64 divisors (see below), whose sum is σ = 777454200. Its totient is φ = 115621888.

The previous prime is 307131509. The next prime is 307131529. The reversal of 307131520 is 25131703.

307131520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198471744 + 108659776 = 14088^2 + 10424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 307131491 and 307131500.

It is not an unprimeable number, because it can be changed into a prime (307131529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3235 + ... + 24994.

Almost surely, 2307131520 is an apocalyptic number.

It is an amenable number.

307131520 is an abundant number, since it is smaller than the sum of its proper divisors (470322680).

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

307131520 is a wasteful number, since it uses less digits than its factorization.

307131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28265 (or 28253 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 307131520 is about 17525.1681874954. The cubic root of 307131520 is about 674.6959911292.

The spelling of 307131520 in words is "three hundred seven million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 28229 56458 112916 141145 225832 282290 451664 479893 564580 903328 959786 1129160 1806656 1919572 2258320 2399465 3613312 3839144 4516640 4798930 7678288 9033280 9597860 15356576 18066560 19195720 30713152 38391440 61426304 76782880 153565760 307131520