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23493860 = 22513109829
BaseRepresentation
bin101100110011…
…1110011100100
31122012121111222
41121213303210
522003300420
62155315512
7403460135
oct131476344
948177458
1023493860
1112297315
127a4bb98
134b377c0
143197c8c
1520e1225
hex1667ce4

23493860 has 48 divisors (see below), whose sum is σ = 53684400. Its totient is φ = 8584704.

The previous prime is 23493839. The next prime is 23493863. The reversal of 23493860 is 6839432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 376996 + 23116864 = 614^2 + 4808^2 .

It is a super-2 number, since 2×234938602 = 1103922915399200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23493860.

It is not an unprimeable number, because it can be changed into a prime (23493863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27926 + ... + 28754.

It is an arithmetic number, because the mean of its divisors is an integer number (1118425).

Almost surely, 223493860 is an apocalyptic number.

23493860 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 23493860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26842200).

23493860 is an abundant number, since it is smaller than the sum of its proper divisors (30190540).

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

23493860 is a wasteful number, since it uses less digits than its factorization.

23493860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 23493860 is about 4847.0465233996. The cubic root of 23493860 is about 286.4077675712.

The spelling of 23493860 in words is "twenty-three million, four hundred ninety-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 829 1090 1417 1658 2180 2834 3316 4145 5668 7085 8290 10777 14170 16580 21554 28340 43108 53885 90361 107770 180722 215540 361444 451805 903610 1174693 1807220 2349386 4698772 5873465 11746930 23493860