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23880816 = 2432383433
BaseRepresentation
bin101101100011…
…0010001110000
31122221021022200
41123012101300
522103141231
62211503200
7406661241
oct133062160
948837280
1023880816
1112531013
127bb7b00
134c4197b
143258cc8
15216abe6
hex16c6470

23880816 has 60 divisors (see below), whose sum is σ = 67162368. Its totient is φ = 7921152.

The previous prime is 23880809. The next prime is 23880817. The reversal of 23880816 is 61808832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23880817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54936 + ... + 55368.

Almost surely, 223880816 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 23880816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33581184).

23880816 is an abundant number, since it is smaller than the sum of its proper divisors (43281552).

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

23880816 is a wasteful number, since it uses less digits than its factorization.

23880816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 23880816 is about 4886.8001800769. The cubic root of 23880816 is about 287.9716407261.

The spelling of 23880816 in words is "twenty-three million, eight hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 433 766 866 1149 1299 1532 1732 2298 2598 3064 3447 3464 3897 4596 5196 6128 6894 6928 7794 9192 10392 13788 15588 18384 20784 27576 31176 55152 62352 165839 331678 497517 663356 995034 1326712 1492551 1990068 2653424 2985102 3980136 5970204 7960272 11940408 23880816