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23142532 = 22719411061
BaseRepresentation
bin101100001001…
…0000010000100
31121112202120211
41120102002010
521411030112
62144005204
7400464640
oct130220204
947482524
1023142532
1112077366
127900804
134a4390a
143105c20
1520720a7
hex1612084

23142532 has 48 divisors (see below), whose sum is σ = 49956480. Its totient is φ = 9158400.

The previous prime is 23142529. The next prime is 23142541. The reversal of 23142532 is 23524132.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21282 + ... + 22342.

It is an arithmetic number, because the mean of its divisors is an integer number (1040760).

Almost surely, 223142532 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 23142532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24978240).

23142532 is an abundant number, since it is smaller than the sum of its proper divisors (26813948).

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

23142532 is a wasteful number, since it uses less digits than its factorization.

23142532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 23142532 is about 4810.6685606057. The cubic root of 23142532 is about 284.9729409008.

Adding to 23142532 its reverse (23524132), we get a palindrome (46666664).

The spelling of 23142532 in words is "twenty-three million, one hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1061 1148 1558 2122 3116 4244 5453 7427 10906 14854 20159 21812 29708 40318 43501 80636 87002 141113 174004 282226 304507 564452 609014 826519 1218028 1653038 3306076 5785633 11571266 23142532