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5557640 = 2351117743
BaseRepresentation
bin10101001100110110001000
3101110100122112
4111030312020
52410321030
6315041452
765145014
oct25146610
911410575
105557640
1131565a0
121a40288
1311c785a
14a49544
1574ba95
hex54cd88

5557640 has 64 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1899520.

The previous prime is 5557631. The next prime is 5557661. The reversal of 5557640 is 467555.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5557597 and 5557606.

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, 7109 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 25557640 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 5557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5557640 is an abundant number, since it is smaller than the sum of its proper divisors (8905720).

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

5557640 is a wasteful number, since it uses less digits than its factorization.

5557640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 5557640 is about 2357.4647399272. The cubic root of 5557640 is about 177.1319092882.

The spelling of 5557640 in words is "five million, five hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 743 748 935 1486 1496 1870 2972 3715 3740 5944 7430 7480 8173 12631 14860 16346 25262 29720 32692 40865 50524 63155 65384 81730 101048 126310 138941 163460 252620 277882 326920 505240 555764 694705 1111528 1389410 2778820 5557640