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513060864 = 212343971
BaseRepresentation
bin11110100101001…
…011000000000000
31022202102012012020
4132211023000000
52022320421424
6122524401440
715466642161
oct3645130000
91282365166
10513060864
11243678248
121239a6280
13823a8c14
144c1d5768
1530098079
hex1e94b000

513060864 has 104 divisors (see below), whose sum is σ = 1401250752. Its totient is φ = 166871040.

The previous prime is 513060859. The next prime is 513060869. The reversal of 513060864 is 468060315.

It is an interprime number because it is at equal distance from previous prime (513060859) and next prime (513060869).

It is not an unprimeable number, because it can be changed into a prime (513060869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527899 + ... + 528869.

Almost surely, 2513060864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700625376).

513060864 is an abundant number, since it is smaller than the sum of its proper divisors (888189888).

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

513060864 is an equidigital number, since it uses as much as digits as its factorization.

513060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 513060864 is about 22650.8468715852. The cubic root of 513060864 is about 800.5521521557.

The spelling of 513060864 in words is "five hundred thirteen million, sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 971 1024 1032 1376 1536 1942 2048 2064 2752 2913 3072 3884 4096 4128 5504 5826 6144 7768 8256 11008 11652 12288 15536 16512 22016 23304 31072 33024 41753 44032 46608 62144 66048 83506 88064 93216 124288 125259 132096 167012 176128 186432 248576 250518 264192 334024 372864 497152 501036 528384 668048 745728 994304 1002072 1336096 1491456 1988608 2004144 2672192 2982912 3977216 4008288 5344384 5965824 8016576 10688768 11931648 16033152 21377536 32066304 42755072 64132608 85510144 128265216 171020288 256530432 513060864