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23681540 = 2251184077
BaseRepresentation
bin101101001010…
…1101000000100
31122120010222002
41122111220010
522030302130
62203324432
7405201251
oct132255004
948503862
1023681540
1112405323
127b20718
134ba205c
143206428
15212bb45
hex1695a04

23681540 has 12 divisors (see below), whose sum is σ = 49731276. Its totient is φ = 9472608.

The previous prime is 23681531. The next prime is 23681549. The reversal of 23681540 is 4518632.

It is an interprime number because it is at equal distance from previous prime (23681531) and next prime (23681549).

It can be written as a sum of positive squares in 2 ways, for example, as 11957764 + 11723776 = 3458^2 + 3424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681549) 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, 592019 + ... + 592058.

It is an arithmetic number, because the mean of its divisors is an integer number (4144273).

Almost surely, 223681540 is an apocalyptic number.

23681540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23681540 is an abundant number, since it is smaller than the sum of its proper divisors (26049736).

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

23681540 is a wasteful number, since it uses less digits than its factorization.

23681540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184086 (or 1184084 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 23681540 is about 4866.3682556913. The cubic root of 23681540 is about 287.1683990287.

The spelling of 23681540 in words is "twenty-three million, six hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1184077 2368154 4736308 5920385 11840770 23681540