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23132416 = 28109829
BaseRepresentation
bin101100000111…
…1100100000000
31121112020201011
41120033210000
521410214131
62143450304
7400423306
oct130174400
947466634
1023132416
111206a7aa
1278b6994
134a3c128
143102276
15206e0b1
hex160f900

23132416 has 36 divisors (see below), whose sum is σ = 46654300. Its totient is φ = 11446272.

The previous prime is 23132407. The next prime is 23132423. The reversal of 23132416 is 61423132.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 8386816 = 3840^2 + 2896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27490 + ... + 28318.

Almost surely, 223132416 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 23132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23327150).

23132416 is an abundant number, since it is smaller than the sum of its proper divisors (23521884).

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

23132416 is an equidigital number, since it uses as much as digits as its factorization.

23132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 23132416 is about 4809.6170325713. The cubic root of 23132416 is about 284.9314126530.

Adding to 23132416 its reverse (61423132), we get a palindrome (84555548).

The spelling of 23132416 in words is "twenty-three million, one hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 829 872 1658 1744 3316 3488 6632 6976 13264 13952 26528 27904 53056 90361 106112 180722 212224 361444 722888 1445776 2891552 5783104 11566208 23132416