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2568132 = 223374379
BaseRepresentation
bin1001110010111111000100
311211110211000
421302333010
51124140012
6131013300
730554160
oct11627704
94743730
102568132
1114a4526
12a3a230
136bbc08
144abca0
1535addc
hex272fc4

2568132 has 96 divisors (see below), whose sum is σ = 7884800. Its totient is φ = 707616.

The previous prime is 2568131. The next prime is 2568169. The reversal of 2568132 is 2318652.

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

It is a junction number, because it is equal to n+sod(n) for n = 2568096 and 2568105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32469 + ... + 32547.

22568132 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 2568132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942400).

2568132 is an abundant number, since it is smaller than the sum of its proper divisors (5316668).

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

2568132 is a wasteful number, since it uses less digits than its factorization.

2568132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

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

The square root of 2568132 is about 1602.5392350891. The cubic root of 2568132 is about 136.9427718425.

The spelling of 2568132 in words is "two million, five hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 79 84 86 108 126 129 158 172 189 237 252 258 301 316 378 387 474 516 553 602 711 756 774 903 948 1106 1161 1204 1422 1548 1659 1806 2133 2212 2322 2709 2844 3318 3397 3612 4266 4644 4977 5418 6636 6794 8127 8532 9954 10191 10836 13588 14931 16254 19908 20382 23779 29862 30573 32508 40764 47558 59724 61146 71337 91719 95116 122292 142674 183438 214011 285348 366876 428022 642033 856044 1284066 2568132