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23820804 = 22377389
BaseRepresentation
bin101101011011…
…1101000000100
31122211020000000
41122313220010
522044231204
62210321300
7406321260
oct132675004
948736000
1023820804
111249aa17
127b89230
134c20567
1432410a0
152158039
hex16b7a04

23820804 has 96 divisors (see below), whose sum is σ = 71635200. Its totient is φ = 6788448.

The previous prime is 23820799. The next prime is 23820817. The reversal of 23820804 is 40802832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61042 + ... + 61430.

It is an arithmetic number, because the mean of its divisors is an integer number (746200).

Almost surely, 223820804 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 23820804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817600).

23820804 is an abundant number, since it is smaller than the sum of its proper divisors (47814396).

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

23820804 is an equidigital number, since it uses as much as digits as its factorization.

23820804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23820804 is about 4880.6561034353. The cubic root of 23820804 is about 287.7302161090.

The spelling of 23820804 in words is "twenty-three million, eight hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 389 486 567 729 756 778 972 1134 1167 1458 1556 1701 2187 2268 2334 2723 2916 3402 3501 4374 4668 5103 5446 6804 7002 8169 8748 10206 10503 10892 14004 15309 16338 20412 21006 24507 30618 31509 32676 42012 49014 61236 63018 73521 94527 98028 126036 147042 189054 220563 283581 294084 378108 441126 567162 661689 850743 882252 1134324 1323378 1701486 1985067 2646756 3402972 3970134 5955201 7940268 11910402 23820804