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5032960 = 2105983
BaseRepresentation
bin10011001100110000000000
3100110200220221
4103030300000
52242023320
6255512424
760531232
oct23146000
910420827
105032960
112928379
121828714
131072aaa
14950252
156963aa
hex4ccc00

5032960 has 44 divisors (see below), whose sum is σ = 12085488. Its totient is φ = 2011136.

The previous prime is 5032957. The next prime is 5032961. The reversal of 5032960 is 692305.

It is not an unprimeable number, because it can be changed into a prime (5032961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4629 + ... + 5611.

Almost surely, 25032960 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 5032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042744).

5032960 is an abundant number, since it is smaller than the sum of its proper divisors (7052528).

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

5032960 is an equidigital number, since it uses as much as digits as its factorization.

5032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 5032960 is about 2243.4259515304. The cubic root of 5032960 is about 171.3725107695.

The spelling of 5032960 in words is "five million, thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 983 1024 1280 1966 2560 3932 4915 5120 7864 9830 15728 19660 31456 39320 62912 78640 125824 157280 251648 314560 503296 629120 1006592 1258240 2516480 5032960