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23765540 = 2251188277
BaseRepresentation
bin101101010101…
…0001000100100
31122201102012012
41122222020210
522040444130
62205213352
7406001201
oct132521044
948642165
1023765540
1112462447
127b61258
134c01366
143228ca8
152146995
hex16aa224

23765540 has 12 divisors (see below), whose sum is σ = 49907676. Its totient is φ = 9506208.

The previous prime is 23765537. The next prime is 23765543. The reversal of 23765540 is 4556732.

It is an interprime number because it is at equal distance from previous prime (23765537) and next prime (23765543).

It can be written as a sum of positive squares in 2 ways, for example, as 11669056 + 12096484 = 3416^2 + 3478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23765497 and 23765506.

It is not an unprimeable number, because it can be changed into a prime (23765543) 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, 594119 + ... + 594158.

It is an arithmetic number, because the mean of its divisors is an integer number (4158973).

Almost surely, 223765540 is an apocalyptic number.

23765540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23765540 is an abundant number, since it is smaller than the sum of its proper divisors (26142136).

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

23765540 is a wasteful number, since it uses less digits than its factorization.

23765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188286 (or 1188284 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 23765540 is about 4874.9912820435. The cubic root of 23765540 is about 287.5075335140.

The spelling of 23765540 in words is "twenty-three million, seven hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1188277 2376554 4753108 5941385 11882770 23765540