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516071430 = 232572117023
BaseRepresentation
bin11110110000101…
…010000000000110
31022222002010220200
4132300222000012
52024103241210
6123113111330
715534351300
oct3660520006
91288063820
10516071430
11245344116
121249b8546
1382bc1314
144c77a970
15304900c0
hex1ec2a006

516071430 has 72 divisors (see below), whose sum is σ = 1560866112. Its totient is φ = 117958176.

The previous prime is 516071399. The next prime is 516071471. The reversal of 516071430 is 34170615.

516071430 is a `hidden beast` number, since 5 + 160 + 71 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 516071394 and 516071403.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 54102 + ... + 62921.

It is an arithmetic number, because the mean of its divisors is an integer number (21678696).

Almost surely, 2516071430 is an apocalyptic number.

516071430 is an abundant number, since it is smaller than the sum of its proper divisors (1044794682).

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

516071430 is a wasteful number, since it uses less digits than its factorization.

516071430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117050 (or 117040 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 516071430 is about 22717.2055939986. The cubic root of 516071430 is about 802.1149403155.

The spelling of 516071430 in words is "five hundred sixteen million, seventy-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 117023 234046 351069 585115 702138 819161 1053207 1170230 1638322 1755345 2106414 2457483 3510690 4095805 4914966 5266035 5734127 7372449 8191610 10532070 11468254 12287415 14744898 17202381 24574830 28670635 34404762 36862245 51607143 57341270 73724490 86011905 103214286 172023810 258035715 516071430