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55460106 = 23313199397
BaseRepresentation
bin1101001110010…
…0000100001010
310212100122222000
43103210010022
5103144210411
65300411430
71242255162
oct323440412
9125318860
1055460106
112933aaa9
12166a6b76
13b64a740
1475195a2
154d07956
hex34e410a

55460106 has 64 divisors (see below), whose sum is σ = 133728000. Its totient is φ = 16936128.

The previous prime is 55460099. The next prime is 55460117. The reversal of 55460106 is 60106455.

It is a happy number.

55460106 is a `hidden beast` number, since 5 + 54 + 601 + 0 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 55460106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139500 + ... + 139896.

It is an arithmetic number, because the mean of its divisors is an integer number (2089500).

Almost surely, 255460106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55460106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66864000).

55460106 is an abundant number, since it is smaller than the sum of its proper divisors (78267894).

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

55460106 is a wasteful number, since it uses less digits than its factorization.

55460106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

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

The square root of 55460106 is about 7447.1542215802. The cubic root of 55460106 is about 381.3527639848.

The spelling of 55460106 in words is "fifty-five million, four hundred sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 199 234 351 397 398 597 702 794 1191 1194 1791 2382 2587 3573 3582 5161 5174 5373 7146 7761 10322 10719 10746 15483 15522 21438 23283 30966 46449 46566 69849 79003 92898 139347 139698 158006 237009 278694 474018 711027 1027039 1422054 2054078 2133081 3081117 4266162 6162234 9243351 18486702 27730053 55460106