Search a number
-
+
23652132 = 2237312293
BaseRepresentation
bin101101000111…
…0011100100100
31122111122121220
41122032130210
522023332012
62202540340
7405016440
oct132163444
948448556
1023652132
1112395219
127b076b0
134b9185a
1431d9820
15212308c
hex168e724

23652132 has 72 divisors (see below), whose sum is σ = 65395008. Its totient is φ = 6517440.

The previous prime is 23652127. The next prime is 23652137. The reversal of 23652132 is 23125632.

It is an interprime number because it is at equal distance from previous prime (23652127) and next prime (23652137).

It is not an unprimeable number, because it can be changed into a prime (23652137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80578 + ... + 80870.

It is an arithmetic number, because the mean of its divisors is an integer number (908264).

Almost surely, 223652132 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 23652132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32697504).

23652132 is an abundant number, since it is smaller than the sum of its proper divisors (41742876).

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

23652132 is a wasteful number, since it uses less digits than its factorization.

23652132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 23652132 is about 4863.3457619215. The cubic root of 23652132 is about 287.0494801519.

Adding to 23652132 its reverse (23125632), we get a palindrome (46777764).

The spelling of 23652132 in words is "twenty-three million, six hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 293 372 434 586 651 868 879 961 1172 1302 1758 1922 2051 2604 2883 3516 3844 4102 5766 6153 6727 8204 9083 11532 12306 13454 18166 20181 24612 26908 27249 36332 40362 54498 63581 80724 108996 127162 190743 254324 281573 381486 563146 762972 844719 1126292 1689438 1971011 3378876 3942022 5913033 7884044 11826066 23652132