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4256960 = 26553251
BaseRepresentation
bin10000001111010011000000
322000021110012
4100033103000
52042210320
6231124052
751116651
oct20172300
98007405
104256960
112448354
121513628
13b60816
147cb528
155914c5
hex40f4c0

4256960 has 56 divisors (see below), whose sum is σ = 10369296. Its totient is φ = 1664000.

The previous prime is 4256933. The next prime is 4256963. The reversal of 4256960 is 696524.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4256963) 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, 16835 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (185166).

Almost surely, 24256960 is an apocalyptic number.

4256960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184648).

4256960 is an abundant number, since it is smaller than the sum of its proper divisors (6112336).

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

4256960 is a wasteful number, since it uses less digits than its factorization.

4256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 4256960 is about 2063.2401702177. The cubic root of 4256960 is about 162.0689641852.

The spelling of 4256960 in words is "four million, two hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 251 265 320 424 502 530 848 1004 1060 1255 1696 2008 2120 2510 3392 4016 4240 5020 8032 8480 10040 13303 16064 16960 20080 26606 40160 53212 66515 80320 106424 133030 212848 266060 425696 532120 851392 1064240 2128480 4256960