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23000560 = 2451159443
BaseRepresentation
bin101011110111…
…1010111110000
31121021112211121
41113233113300
521342004220
62140552024
7366334012
oct127572760
947245747
1023000560
1111a8a730
127852614
1349c40cb
1430aa1b2
152044eaa
hex15ef5f0

23000560 has 80 divisors (see below), whose sum is σ = 59460480. Its totient is φ = 8203520.

The previous prime is 23000557. The next prime is 23000563. The reversal of 23000560 is 6500032.

It is an interprime number because it is at equal distance from previous prime (23000557) and next prime (23000563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000563) 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, 51699 + ... + 52141.

It is an arithmetic number, because the mean of its divisors is an integer number (743256).

Almost surely, 223000560 is an apocalyptic number.

23000560 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 23000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730240).

23000560 is an abundant number, since it is smaller than the sum of its proper divisors (36459920).

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

23000560 is a wasteful number, since it uses less digits than its factorization.

23000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23000560 is about 4795.8899069933. The cubic root of 23000560 is about 284.3890060324.

Adding to 23000560 its reverse (6500032), we get a palindrome (29500592).

The spelling of 23000560 in words is "twenty-three million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 443 472 590 649 880 886 944 1180 1298 1772 2215 2360 2596 3245 3544 4430 4720 4873 5192 6490 7088 8860 9746 10384 12980 17720 19492 24365 25960 26137 35440 38984 48730 51920 52274 77968 97460 104548 130685 194920 209096 261370 287507 389840 418192 522740 575014 1045480 1150028 1437535 2090960 2300056 2875070 4600112 5750140 11500280 23000560