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5106456 = 233347503
BaseRepresentation
bin10011011110101100011000
3100121102202000
4103132230120
52301401311
6301241000
761255425
oct23365430
910542660
105106456
112978613
121863160
13109a394
1496cd4c
156ad056
hex4deb18

5106456 has 64 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1662624.

The previous prime is 5106433. The next prime is 5106469. The reversal of 5106456 is 6546015.

It is a happy number.

5106456 is a `hidden beast` number, since 5 + 10 + 645 + 6 = 666.

5106456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 9901 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 25106456 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 5106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5106456 is an abundant number, since it is smaller than the sum of its proper divisors (9408744).

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

5106456 is a wasteful number, since it uses less digits than its factorization.

5106456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

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

The square root of 5106456 is about 2259.7468884811. The cubic root of 5106456 is about 172.2026635823.

The spelling of 5106456 in words is "five million, one hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 503 564 846 1006 1128 1269 1509 1692 2012 2538 3018 3384 4024 4527 5076 6036 9054 10152 12072 13581 18108 23641 27162 36216 47282 54324 70923 94564 108648 141846 189128 212769 283692 425538 567384 638307 851076 1276614 1702152 2553228 5106456