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23768540 = 22510910903
BaseRepresentation
bin101101010101…
…0110111011100
31122201120022022
41122222313130
522041043130
62205235312
7406013015
oct132526734
948646268
1023768540
1112464724
127b62b38
134c02833
14322a00c
1521477e5
hex16aaddc

23768540 has 24 divisors (see below), whose sum is σ = 50376480. Its totient is φ = 9419328.

The previous prime is 23768531. The next prime is 23768543. The reversal of 23768540 is 4586732.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23768540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23768543) 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, 3272 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (2099020).

Almost surely, 223768540 is an apocalyptic number.

23768540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23768540 is an abundant number, since it is smaller than the sum of its proper divisors (26607940).

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

23768540 is a wasteful number, since it uses less digits than its factorization.

23768540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 23768540 is about 4875.2989651918. The cubic root of 23768540 is about 287.5196306697.

The spelling of 23768540 in words is "twenty-three million, seven hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 10903 21806 43612 54515 109030 218060 1188427 2376854 4753708 5942135 11884270 23768540