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5488680 = 233553863
BaseRepresentation
bin10100111100000000101000
3101022212001110
4110330000220
52401114210
6313350320
764436661
oct24740050
911285043
105488680
1131097aa
121a083a0
1311a2352
14a2c368
15736420
hex53c028

5488680 has 64 divisors (see below), whose sum is σ = 16796160. Its totient is φ = 1434368.

The previous prime is 5488669. The next prime is 5488709. The reversal of 5488680 is 868845.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 5929 + ... + 6791.

It is an arithmetic number, because the mean of its divisors is an integer number (262440).

Almost surely, 25488680 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 5488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398080).

5488680 is an abundant number, since it is smaller than the sum of its proper divisors (11307480).

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

5488680 is a wasteful number, since it uses less digits than its factorization.

5488680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 5488680 is about 2342.7932047025. The cubic root of 5488680 is about 176.3962319422.

The spelling of 5488680 in words is "five million, four hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 863 1060 1272 1590 1726 2120 2589 3180 3452 4315 5178 6360 6904 8630 10356 12945 17260 20712 25890 34520 45739 51780 91478 103560 137217 182956 228695 274434 365912 457390 548868 686085 914780 1097736 1372170 1829560 2744340 5488680