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55560006 = 23653719
BaseRepresentation
bin1101001111110…
…0011101000110
310212112202000000
43103330131012
5103210410011
65302502130
71243152345
oct323743506
9125482000
1055560006
11293a9067
1216734946
13b684058
147543b5c
154d27356
hex34fc746

55560006 has 56 divisors (see below), whose sum is σ = 127487520. Its totient is φ = 18145296.

The previous prime is 55559993. The next prime is 55560007. The reversal of 55560006 is 60006555.

55560006 is a `hidden beast` number, since 5 + 55 + 600 + 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (55560007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 76915 + ... + 77633.

Almost surely, 255560006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55560006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63743760).

55560006 is an abundant number, since it is smaller than the sum of its proper divisors (71927514).

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

55560006 is an equidigital number, since it uses as much as digits as its factorization.

55560006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55560006 is about 7453.8584639098. The cubic root of 55560006 is about 381.5816028867.

The spelling of 55560006 in words is "fifty-five million, five hundred sixty thousand, six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 719 729 954 1431 1438 1458 2157 2862 4293 4314 6471 8586 12879 12942 19413 25758 38107 38637 38826 58239 76214 77274 114321 116478 174717 228642 342963 349434 524151 685926 1028889 1048302 2057778 3086667 6173334 9260001 18520002 27780003 55560006