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23000120 = 23511134021
BaseRepresentation
bin101011110111…
…1010000111000
31121021112020022
41113233100320
521342000440
62140550012
7366332513
oct127572070
947245208
1023000120
1111a8a370
127852308
1349c3b50
1430a9d7a
152044cb5
hex15ef438

23000120 has 64 divisors (see below), whose sum is σ = 60812640. Its totient is φ = 7718400.

The previous prime is 23000113. The next prime is 23000123. The reversal of 23000120 is 2100032.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 23000098 and 23000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000123) 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, 3710 + ... + 7730.

Almost surely, 223000120 is an apocalyptic number.

23000120 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 23000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30406320).

23000120 is an abundant number, since it is smaller than the sum of its proper divisors (37812520).

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

23000120 is a wasteful number, since it uses less digits than its factorization.

23000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 23000120 is about 4795.8440341612. The cubic root of 23000120 is about 284.3871925699.

Adding to 23000120 its reverse (2100032), we get a palindrome (25100152).

The spelling of 23000120 in words is "twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 4021 5720 8042 16084 20105 32168 40210 44231 52273 80420 88462 104546 160840 176924 209092 221155 261365 353848 418184 442310 522730 575003 884620 1045460 1150006 1769240 2090920 2300012 2875015 4600024 5750030 11500060 23000120