Search a number
-
+
23046268 = 2272313793
BaseRepresentation
bin101011111101…
…0100001111100
31121100212112111
41113322201330
521344440033
62141543404
7366614200
oct127724174
947325474
1023046268
1112011003
127874b64
134a0bb5b
1430bcb00
1520537cd
hex15fa87c

23046268 has 36 divisors (see below), whose sum is σ = 48441792. Its totient is φ = 9555840.

The previous prime is 23046239. The next prime is 23046313. The reversal of 23046268 is 86264032.

It is a super-2 number, since 2×230462682 = 1062260937455648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4180 + ... + 7972.

Almost surely, 223046268 is an apocalyptic number.

23046268 is a gapful number since it is divisible by the number (28) 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 23046268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24220896).

23046268 is an abundant number, since it is smaller than the sum of its proper divisors (25395524).

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

23046268 is a wasteful number, since it uses less digits than its factorization.

23046268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 23046268 is about 4800.6528722664. The cubic root of 23046268 is about 284.5772659631.

The spelling of 23046268 in words is "twenty-three million, forty-six thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 3038 3793 6076 7586 15172 26551 53102 106204 117583 185857 235166 371714 470332 743428 823081 1646162 3292324 5761567 11523134 23046268