Search a number
-
+
5416960 = 2115232
BaseRepresentation
bin10100101010100000000000
3101012012200011
4110222200000
52341320320
6312034304
764020613
oct24524000
911165604
105416960
11306a92a
121992994
131178803
14a1017a
1572005a
hex52a800

5416960 has 72 divisors (see below), whose sum is σ = 13587210. Its totient is φ = 2072576.

The previous prime is 5416949. The next prime is 5416987. The reversal of 5416960 is 696145.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 541696 = 2208^2 + 736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235509 + ... + 235531.

Almost surely, 25416960 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 5416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793605).

5416960 is an abundant number, since it is smaller than the sum of its proper divisors (8170250).

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

5416960 is an equidigital number, since it uses as much as digits as its factorization.

5416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 5416960 is about 2327.4363578839. The cubic root of 5416960 is about 175.6245439720.

The spelling of 5416960 in words is "five million, four hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 529 640 736 920 1024 1058 1280 1472 1840 2048 2116 2560 2645 2944 3680 4232 5120 5290 5888 7360 8464 10240 10580 11776 14720 16928 21160 23552 29440 33856 42320 47104 58880 67712 84640 117760 135424 169280 235520 270848 338560 541696 677120 1083392 1354240 2708480 5416960