Search a number
-
+
256252260 = 2235111572473
BaseRepresentation
bin11110100011000…
…01100101100100
3122212011222000110
433101201211210
51011100033020
641232213020
76231052065
oct1721414544
9585158013
10256252260
11121714130
127199a170
1341121474
142606656c
151776b8e0
hexf461964

256252260 has 96 divisors (see below), whose sum is σ = 788038272. Its totient is φ = 61701120.

The previous prime is 256252253. The next prime is 256252261. The reversal of 256252260 is 62252652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (256252261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102384 + ... + 104856.

It is an arithmetic number, because the mean of its divisors is an integer number (8208732).

Almost surely, 2256252260 is an apocalyptic number.

256252260 is a gapful number since it is divisible by the number (20) 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 256252260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394019136).

256252260 is an abundant number, since it is smaller than the sum of its proper divisors (531786012).

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

256252260 is a wasteful number, since it uses less digits than its factorization.

256252260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 256252260 is about 16007.8811839669. The cubic root of 256252260 is about 635.1689136686.

The spelling of 256252260 in words is "two hundred fifty-six million, two hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 2473 3140 3454 4710 4946 5181 6908 7419 8635 9420 9892 10362 12365 14838 17270 20724 24730 25905 27203 29676 34540 37095 49460 51810 54406 74190 81609 103620 108812 136015 148380 163218 272030 326436 388261 408045 544060 776522 816090 1164783 1553044 1632180 1941305 2329566 3882610 4270871 4659132 5823915 7765220 8541742 11647830 12812613 17083484 21354355 23295660 25625226 42708710 51250452 64063065 85417420 128126130 256252260