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23820456 = 23311233923
BaseRepresentation
bin101101011011…
…1100010101000
31122211012112010
41122313202220
522044223311
62210315520
7406320252
oct132674250
948735463
1023820456
111249a730
127b88ba0
134c2035a
143240cd2
152157da6
hex16b78a8

23820456 has 64 divisors (see below), whose sum is σ = 67806720. Its totient is φ = 6902720.

The previous prime is 23820449. The next prime is 23820469. The reversal of 23820456 is 65402832.

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 15 ways as a sum of consecutive naturals, for example, 4111 + ... + 8033.

It is an arithmetic number, because the mean of its divisors is an integer number (1059480).

Almost surely, 223820456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23820456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33903360).

23820456 is an abundant number, since it is smaller than the sum of its proper divisors (43986264).

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

23820456 is a wasteful number, since it uses less digits than its factorization.

23820456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23820456 is about 4880.6204523605. The cubic root of 23820456 is about 287.7288149443.

The spelling of 23820456 in words is "twenty-three million, eight hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 3923 6072 7846 11769 15692 23538 31384 43153 47076 86306 90229 94152 129459 172612 180458 258918 270687 345224 360916 517836 541374 721832 992519 1035672 1082748 1985038 2165496 2977557 3970076 5955114 7940152 11910228 23820456