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23431680 = 29345113
BaseRepresentation
bin101100101100…
…0101000000000
31122002110020000
41121120220000
521444303210
62154120000
7403110636
oct131305000
948073200
1023431680
1112254628
127a20000
134b153cc
14317d356
1520ccac0
hex1658a00

23431680 has 200 divisors, whose sum is σ = 84667572. Its totient is φ = 6193152.

The previous prime is 23431679. The next prime is 23431699. The reversal of 23431680 is 8613432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 3504384 = 4464^2 + 1872^2 .

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

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, 207304 + ... + 207416.

Almost surely, 223431680 is an apocalyptic number.

23431680 is a gapful number since it is divisible by the number (20) 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 23431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42333786).

23431680 is an abundant number, since it is smaller than the sum of its proper divisors (61235892).

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

23431680 is an equidigital number, since it uses as much as digits as its factorization.

23431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

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

The square root of 23431680 is about 4840.6280584238. The cubic root of 23431680 is about 286.1548707239.

The spelling of 23431680 in words is "twenty-three million, four hundred thirty-one thousand, six hundred eighty".