Search a number
-
+
23264560 = 2451126437
BaseRepresentation
bin101100010111…
…1110100110000
31121202221222101
41120233310300
521423431220
62150350144
7401513464
oct130576460
947687871
1023264560
1112150010
12795b354
134a87317
1431384a4
15209830a
hex162fd30

23264560 has 40 divisors (see below), whose sum is σ = 59009616. Its totient is φ = 8459520.

The previous prime is 23264543. The next prime is 23264573. The reversal of 23264560 is 6546232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12339 + ... + 14098.

Almost surely, 223264560 is an apocalyptic number.

23264560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23264560 is an abundant number, since it is smaller than the sum of its proper divisors (35745056).

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

23264560 is a wasteful number, since it uses less digits than its factorization.

23264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26461 (or 26455 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 23264560 is about 4823.3349458647. The cubic root of 23264560 is about 285.4729399998.

It can be divided in two parts, 2326 and 4560, that added together give a palindrome (6886).

The spelling of 23264560 in words is "twenty-three million, two hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 26437 52874 105748 132185 211496 264370 290807 422992 528740 581614 1057480 1163228 1454035 2114960 2326456 2908070 4652912 5816140 11632280 23264560