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517640420 = 225112213901
BaseRepresentation
bin11110110110101…
…001000011100100
31100002000212011102
4132312221003210
52030003443140
6123210455232
715553604513
oct3666510344
91302025142
10517640420
11246215a00
12125434518
138332050b
144ca6867a
153069ee15
hex1eda90e4

517640420 has 36 divisors (see below), whose sum is σ = 1194856572. Its totient is φ = 188232000.

The previous prime is 517640419. The next prime is 517640447. The reversal of 517640420 is 24046715.

It can be written as a sum of positive squares in 2 ways, for example, as 282508864 + 235131556 = 16808^2 + 15334^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104531 + ... + 109370.

Almost surely, 2517640420 is an apocalyptic number.

It is an amenable number.

517640420 is an abundant number, since it is smaller than the sum of its proper divisors (677216152).

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

517640420 is a wasteful number, since it uses less digits than its factorization.

517640420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213932 (or 213919 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 517640420 is about 22751.7124630213. The cubic root of 517640420 is about 802.9269965533.

The spelling of 517640420 in words is "five hundred seventeen million, six hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 213901 427802 855604 1069505 2139010 2352911 4278020 4705822 9411644 11764555 23529110 25882021 47058220 51764042 103528084 129410105 258820210 517640420