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5106564 = 223415761
BaseRepresentation
bin10011011110101110000100
3100121102220000
4103132232010
52301402224
6301241300
761255641
oct23365604
910542800
105106564
112978701
121863230
13109a448
1496cdc8
156ad0c9
hex4deb84

5106564 has 30 divisors (see below), whose sum is σ = 13350414. Its totient is φ = 1702080.

The previous prime is 5106559. The next prime is 5106571. The reversal of 5106564 is 4656015.

It is a happy number.

5106564 is a `hidden beast` number, since 5 + 1 + 0 + 656 + 4 = 666.

5106564 is digitally balanced in base 4, 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 only one way, i.e., 4588164 + 518400 = 2142^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7557 + ... + 8204.

Almost surely, 25106564 is an apocalyptic number.

5106564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5106564 is an abundant number, since it is smaller than the sum of its proper divisors (8243850).

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

5106564 is a wasteful number, since it uses less digits than its factorization.

5106564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15777 (or 15766 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5106564 is about 2259.7707848364. The cubic root of 5106564 is about 172.2038775851.

The spelling of 5106564 in words is "five million, one hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 15761 31522 47283 63044 94566 141849 189132 283698 425547 567396 851094 1276641 1702188 2553282 5106564