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5256960 = 2835372
BaseRepresentation
bin10100000011011100000000
3100220002012020
4110003130000
52321210320
6304401440
762453262
oct24033400
910802166
105256960
112a706a5
121916280
131120a37
149abb32
156dc940
hex503700

5256960 has 108 divisors (see below), whose sum is σ = 17255448. Its totient is φ = 1363968.

The previous prime is 5256943. The next prime is 5256967. The reversal of 5256960 is 696525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256967) 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 11 ways as a sum of consecutive naturals, for example, 142062 + ... + 142098.

Almost surely, 25256960 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 5256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627724).

5256960 is an abundant number, since it is smaller than the sum of its proper divisors (11998488).

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

5256960 is an equidigital number, since it uses as much as digits as its factorization.

5256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5256960 is about 2292.8061409548. The cubic root of 5256960 is about 173.8781019657.

It can be divided in two parts, 5256 and 960, that added together give a triangular number (6216 = T111).

The spelling of 5256960 in words is "five million, two hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1369 1480 1776 1920 2220 2368 2738 2960 3552 3840 4107 4440 4736 5476 5920 6845 7104 8214 8880 9472 10952 11840 13690 14208 16428 17760 20535 21904 23680 27380 28416 32856 35520 41070 43808 47360 54760 65712 71040 82140 87616 109520 131424 142080 164280 175232 219040 262848 328560 350464 438080 525696 657120 876160 1051392 1314240 1752320 2628480 5256960