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23260416 = 28331977
BaseRepresentation
bin101100010111…
…0110100000000
31121202202021220
41120232310000
521423313131
62150315040
7401465424
oct130566400
947682256
1023260416
1112147993
127958a80
134a8547a
143136b84
152096e96
hex162ed00

23260416 has 72 divisors (see below), whose sum is σ = 63969024. Its totient is φ = 7495680.

The previous prime is 23260411. The next prime is 23260423. The reversal of 23260416 is 61406232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23260411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23320 + ... + 24296.

Almost surely, 223260416 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 23260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31984512).

23260416 is an abundant number, since it is smaller than the sum of its proper divisors (40708608).

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

23260416 is an equidigital number, since it uses as much as digits as its factorization.

23260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23260416 is about 4822.9053484388. The cubic root of 23260416 is about 285.4559890364.

Adding to 23260416 its reverse (61406232), we get a palindrome (84666648).

The spelling of 23260416 in words is "twenty-three million, two hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 977 992 1488 1954 1984 2931 2976 3908 3968 5862 5952 7816 7936 11724 11904 15632 23448 23808 30287 31264 46896 60574 62528 90861 93792 121148 125056 181722 187584 242296 250112 363444 375168 484592 726888 750336 969184 1453776 1938368 2907552 3876736 5815104 7753472 11630208 23260416