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516010520 = 235172332993
BaseRepresentation
bin11110110000011…
…011001000011000
31022221222001100202
4132300123020120
52024044314040
6123111521332
715534005564
oct3660331030
91287861322
10516010520
11245302383
12124989248
1382b9c68c
144c7626a4
153047c015
hex1ec1b218

516010520 has 64 divisors (see below), whose sum is σ = 1282806720. Its totient is φ = 185810944.

The previous prime is 516010513. The next prime is 516010549. The reversal of 516010520 is 25010615.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 516010492 and 516010501.

It is a congruent number.

It is an unprimeable number.

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, 857 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (20043855).

Almost surely, 2516010520 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 516010520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641403360).

516010520 is an abundant number, since it is smaller than the sum of its proper divisors (766796200).

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

516010520 is a wasteful number, since it uses less digits than its factorization.

516010520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33044 (or 33040 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 516010520 is about 22715.8649406092. The cubic root of 516010520 is about 802.0833821885.

The spelling of 516010520 in words is "five hundred sixteen million, ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 32993 65986 131972 164965 263944 329930 560881 659860 758839 1121762 1319720 1517678 2243524 2804405 3035356 3794195 4487048 5608810 6070712 7588390 11217620 12900263 15176780 22435240 25800526 30353560 51601052 64501315 103202104 129002630 258005260 516010520