[go: up one dir, main page]

Search a number
-
+
55740564 = 223211140759
BaseRepresentation
bin1101010010100…
…0100010010100
310212212220200100
43110220202110
5103232144224
65310414100
71244533635
oct324504224
9125786610
1055740564
1129511790
1216801330
13b7182a9
14758d88c
154d60ac9
hex3528894

55740564 has 36 divisors (see below), whose sum is σ = 153709920. Its totient is φ = 16890960.

The previous prime is 55740563. The next prime is 55740589. The reversal of 55740564 is 46504755.

It is a happy number.

55740564 is a `hidden beast` number, since 5 + 57 + 40 + 564 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55740563) 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, 69984 + ... + 70775.

It is an arithmetic number, because the mean of its divisors is an integer number (4269720).

Almost surely, 255740564 is an apocalyptic number.

It is an amenable number.

55740564 is an abundant number, since it is smaller than the sum of its proper divisors (97969356).

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

55740564 is a wasteful number, since it uses less digits than its factorization.

55740564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140780 (or 140775 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55740564 is about 7465.9603534977. The cubic root of 55740564 is about 381.9945084780.

The spelling of 55740564 in words is "fifty-five million, seven hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 140759 281518 422277 563036 844554 1266831 1548349 1689108 2533662 3096698 4645047 5067324 6193396 9290094 13935141 18580188 27870282 55740564