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4256160 = 25358867
BaseRepresentation
bin10000001111000110100000
322000020100120
4100033012200
52042144120
6231120240
751114426
oct20170640
98006316
104256160
112447797
121513080
13b6034c
147cb116
15591140
hex40f1a0

4256160 has 48 divisors (see below), whose sum is σ = 13408416. Its totient is φ = 1134848.

The previous prime is 4256159. The next prime is 4256167. The reversal of 4256160 is 616524.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×42561602 = 36229795891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4256160.

It is not an unprimeable number, because it can be changed into a prime (4256167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3954 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (279342).

Almost surely, 24256160 is an apocalyptic number.

4256160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4256160 is an abundant number, since it is smaller than the sum of its proper divisors (9152256).

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

4256160 is a wasteful number, since it uses less digits than its factorization.

4256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4256160 is about 2063.0462912887. The cubic root of 4256160 is about 162.0588111422.

The spelling of 4256160 in words is "four million, two hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8867 17734 26601 35468 44335 53202 70936 88670 106404 133005 141872 177340 212808 266010 283744 354680 425616 532020 709360 851232 1064040 1418720 2128080 4256160