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23152520 = 2355367163
BaseRepresentation
bin101100001010…
…0011110001000
31121120021021202
41120110132020
521411340040
62144123332
7400536026
oct130243610
947507252
1023152520
1112083916
127906548
134a48321
143109716
152075015
hex1614788

23152520 has 64 divisors (see below), whose sum is σ = 54198720. Its totient is φ = 8895744.

The previous prime is 23152477. The next prime is 23152523. The reversal of 23152520 is 2525132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23152492 and 23152501.

It is not an unprimeable number, because it can be changed into a prime (23152523) 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, 141959 + ... + 142121.

It is an arithmetic number, because the mean of its divisors is an integer number (846855).

Almost surely, 223152520 is an apocalyptic number.

23152520 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 23152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27099360).

23152520 is an abundant number, since it is smaller than the sum of its proper divisors (31046200).

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

23152520 is a wasteful number, since it uses less digits than its factorization.

23152520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 23152520 is about 4811.7065579688. The cubic root of 23152520 is about 285.0139318110.

Adding to 23152520 its reverse (2525132), we get a palindrome (25677652).

The spelling of 23152520 in words is "twenty-three million, one hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 67 106 134 163 212 265 268 326 335 424 530 536 652 670 815 1060 1304 1340 1630 2120 2680 3260 3551 6520 7102 8639 10921 14204 17278 17755 21842 28408 34556 35510 43195 43684 54605 69112 71020 86390 87368 109210 142040 172780 218420 345560 436840 578813 1157626 2315252 2894065 4630504 5788130 11576260 23152520