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531468 = 223371937
BaseRepresentation
bin10000001110000001100
31000000001000
42001300030
5114001333
615220300
74342320
oct2016014
91000030
10531468
11333333
12217690
13157ba2
14db980
15a7713
hex81c0c

531468 has 96 divisors (see below), whose sum is σ = 1702400. Its totient is φ = 139968.

The previous prime is 531457. The next prime is 531481. The reversal of 531468 is 864135.

Subtracting from 531468 its sum of digits (27), we obtain a 12-th power (531441 = 312).

It can be divided in two parts, 531 and 468, that added together give a palindrome (999).

531468 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

531468 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11 and base 14.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14346 + ... + 14382.

531468 is a Friedman number, since it can be written as (5+4)^6+3*(8+1), using all its digits and the basic arithmetic operations.

2531468 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 531468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851200).

531468 is an abundant number, since it is smaller than the sum of its proper divisors (1170932).

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

531468 is a wasteful number, since it uses less digits than its factorization.

531468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 531468 is about 729.0185182833. The cubic root of 531468 is about 81.0013717189.

The spelling of 531468 in words is "five hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 37 38 42 54 57 63 74 76 84 108 111 114 126 133 148 171 189 222 228 252 259 266 333 342 378 399 444 513 518 532 666 684 703 756 777 798 999 1026 1036 1197 1332 1406 1554 1596 1998 2052 2109 2331 2394 2812 3108 3591 3996 4218 4662 4788 4921 6327 6993 7182 8436 9324 9842 12654 13986 14364 14763 18981 19684 25308 27972 29526 37962 44289 59052 75924 88578 132867 177156 265734 531468