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23505660 = 22335192979
BaseRepresentation
bin101100110101…
…0101011111100
31122020012201000
41121222223330
522004140120
62155450300
7403536423
oct131525374
948205630
1023505660
11122a5172
127a56990
134b3cc99
14319c2ba
1520e4990
hex166aafc

23505660 has 192 divisors, whose sum is σ = 80640000. Its totient is φ = 5660928.

The previous prime is 23505637. The next prime is 23505661. The reversal of 23505660 is 6650532.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23505661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297501 + ... + 297579.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 223505660 is an apocalyptic number.

23505660 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 23505660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

23505660 is an abundant number, since it is smaller than the sum of its proper divisors (57134340).

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

23505660 is a wasteful number, since it uses less digits than its factorization.

23505660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 23505660 is about 4848.2636066947. The cubic root of 23505660 is about 286.4557098279.

The spelling of 23505660 in words is "twenty-three million, five hundred five thousand, six hundred sixty".