Search a number
-
+
23516672 = 29231997
BaseRepresentation
bin101100110110…
…1011000000000
31122020202210212
41121231120000
522010013142
62200013252
7403613504
oct131553000
948222725
1023516672
1112302473
127a61228
134b44cba
1431a2304
1520e7d82
hex166d600

23516672 has 40 divisors (see below), whose sum is σ = 49054896. Its totient is φ = 11241472.

The previous prime is 23516621. The next prime is 23516677. The reversal of 23516672 is 27661532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23516677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10778 + ... + 12774.

Almost surely, 223516672 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 23516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527448).

23516672 is an abundant number, since it is smaller than the sum of its proper divisors (25538224).

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

23516672 is an equidigital number, since it uses as much as digits as its factorization.

23516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2022 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 23516672 is about 4849.3991380376. The cubic root of 23516672 is about 286.5004360457.

The spelling of 23516672 in words is "twenty-three million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 1997 2944 3994 5888 7988 11776 15976 31952 45931 63904 91862 127808 183724 255616 367448 511232 734896 1022464 1469792 2939584 5879168 11758336 23516672