Search a number
-
+
23256120 = 2335434507
BaseRepresentation
bin101100010110…
…1110000111000
31121202112101210
41120231300320
521423143440
62150243120
7401450046
oct130556070
947675353
1023256120
1112144738
1279564a0
134a83524
143135396
152095a80
hex162dc38

23256120 has 64 divisors (see below), whose sum is σ = 71406720. Its totient is φ = 6056064.

The previous prime is 23256109. The next prime is 23256127. The reversal of 23256120 is 2165232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23256127) 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, 2907 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (1115730).

Almost surely, 223256120 is an apocalyptic number.

23256120 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 23256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703360).

23256120 is an abundant number, since it is smaller than the sum of its proper divisors (48150600).

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

23256120 is a wasteful number, since it uses less digits than its factorization.

23256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 23256120 is about 4822.4599531774. The cubic root of 23256120 is about 285.4384141941.

The spelling of 23256120 in words is "twenty-three million, two hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 4507 5160 9014 13521 18028 22535 27042 36056 45070 54084 67605 90140 108168 135210 180280 193801 270420 387602 540840 581403 775204 969005 1162806 1550408 1938010 2325612 2907015 3876020 4651224 5814030 7752040 11628060 23256120