Search a number
-
+
23088032 = 2511107613
BaseRepresentation
bin101100000010…
…0101110100000
31121102222211022
41120010232200
521402304112
62142505012
7400150022
oct130045640
947388738
1023088032
111203a420
127895168
134a24b76
1430d0012
152060d72
hex1604ba0

23088032 has 48 divisors (see below), whose sum is σ = 50131872. Its totient is φ = 10379520.

The previous prime is 23088017. The next prime is 23088071.

23088032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23087992 and 23088010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37358 + ... + 37970.

It is an arithmetic number, because the mean of its divisors is an integer number (1044414).

Almost surely, 223088032 is an apocalyptic number.

23088032 is a gapful number since it is divisible by the number (22) 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 23088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065936).

23088032 is an abundant number, since it is smaller than the sum of its proper divisors (27043840).

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

23088032 is a wasteful number, since it uses less digits than its factorization.

23088032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 23088032 is about 4805.0007284079. Note that the first 3 decimals coincide. The cubic root of 23088032 is about 284.7490640296.

The spelling of 23088032 in words is "twenty-three million, eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 613 856 1177 1226 1712 2354 2452 3424 4708 4904 6743 9416 9808 13486 18832 19616 26972 37664 53944 65591 107888 131182 215776 262364 524728 721501 1049456 1443002 2098912 2886004 5772008 11544016 23088032