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55565040 = 24351271823
BaseRepresentation
bin1101001111110…
…1101011110000
310212112222220110
43103331223300
5103211040130
65302541320
71243203126
oct323755360
9125488813
1055565040
1129401923
1216737840
13b68642b
147545916
154d28ab0
hex34fdaf0

55565040 has 80 divisors (see below), whose sum is σ = 173703168. Its totient is φ = 14692608.

The previous prime is 55565023. The next prime is 55565071. The reversal of 55565040 is 4056555.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55564989 and 55565007.

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, 29569 + ... + 31391.

Almost surely, 255565040 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 55565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86851584).

55565040 is an abundant number, since it is smaller than the sum of its proper divisors (118138128).

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

55565040 is a wasteful number, since it uses less digits than its factorization.

55565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 55565040 is about 7454.1961337223. The cubic root of 55565040 is about 381.5931269062.

The spelling of 55565040 in words is "fifty-five million, five hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1823 1905 2032 2540 3048 3646 3810 5080 5469 6096 7292 7620 9115 10160 10938 14584 15240 18230 21876 27345 29168 30480 36460 43752 54690 72920 87504 109380 145840 218760 231521 437520 463042 694563 926084 1157605 1389126 1852168 2315210 2778252 3472815 3704336 4630420 5556504 6945630 9260840 11113008 13891260 18521680 27782520 55565040