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23260608 = 26347641
BaseRepresentation
bin101100010111…
…0110111000000
31121202202120000
41120232313000
521423314413
62150320000
7401466120
oct130566700
947682500
1023260608
1112148048
127959000
134a85597
143136c80
152097073
hex162edc0

23260608 has 140 divisors (see below), whose sum is σ = 78924912. Its totient is φ = 6635520.

The previous prime is 23260583. The next prime is 23260621. The reversal of 23260608 is 80606232.

It is a super-3 number, since 3×232606083 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35968 + ... + 36608.

Almost surely, 223260608 is an apocalyptic number.

23260608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39462456).

23260608 is an abundant number, since it is smaller than the sum of its proper divisors (55664304).

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

23260608 is an equidigital number, since it uses as much as digits as its factorization.

23260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23260608 is about 4822.9252534121. The cubic root of 23260608 is about 285.4567744537.

The spelling of 23260608 in words is "twenty-three million, two hundred sixty thousand, six hundred eight".