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5660964 = 2232672347
BaseRepresentation
bin10101100110000100100100
3101122121101100
4111212010210
52422122324
6321200100
766055161
oct25460444
911577340
105660964
113217191
121a90030
1312328aa
14a75068
1576c4c9
hex566124

5660964 has 36 divisors (see below), whose sum is σ = 14529424. Its totient is φ = 1858032.

The previous prime is 5660951. The next prime is 5660971. The reversal of 5660964 is 4690665.

It is a happy number.

5660964 is a `hidden beast` number, since 566 + 0 + 96 + 4 = 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239 + ... + 3585.

Almost surely, 25660964 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 5660964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264712).

5660964 is an abundant number, since it is smaller than the sum of its proper divisors (8868460).

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

5660964 is a wasteful number, since it uses less digits than its factorization.

5660964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5660964 is about 2379.2780417597. The cubic root of 5660964 is about 178.2228828592. Note that the first 3 decimals are identical.

Subtracting from 5660964 its reverse (4690665), we obtain a cube (970299 = 993).

It can be divided in two parts, 5 and 660964, that added together give a square (660969 = 8132).

The spelling of 5660964 in words is "five million, six hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2347 2412 4694 7041 9388 14082 21123 28164 42246 84492 157249 314498 471747 628996 943494 1415241 1886988 2830482 5660964