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55607940 = 22325308933
BaseRepresentation
bin1101010000100…
…0001010000100
310212122011202100
43110020022010
5103213423230
65303512100
71243442163
oct324101204
9125564670
1055607940
1129431083
1216758630
13b69cb0b
1475573da
154d36660
hex3508284

55607940 has 36 divisors (see below), whose sum is σ = 168677964. Its totient is φ = 14828736.

The previous prime is 55607917. The next prime is 55607941. The reversal of 55607940 is 4970655.

55607940 is a `hidden beast` number, since 5 + 5 + 607 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10771524 + 44836416 = 3282^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55607895 and 55607904.

It is not an unprimeable number, because it can be changed into a prime (55607941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154287 + ... + 154646.

It is an arithmetic number, because the mean of its divisors is an integer number (4685499).

Almost surely, 255607940 is an apocalyptic number.

It is an amenable number.

55607940 is an abundant number, since it is smaller than the sum of its proper divisors (113070024).

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

55607940 is a wasteful number, since it uses less digits than its factorization.

55607940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308948 (or 308943 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55607940 is about 7457.0731523836. The cubic root of 55607940 is about 381.6913069485.

The spelling of 55607940 in words is "fifty-five million, six hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 308933 617866 926799 1235732 1544665 1853598 2780397 3089330 3707196 4633995 5560794 6178660 9267990 11121588 13901985 18535980 27803970 55607940