Search a number
-
+
15823968 = 253191863
BaseRepresentation
bin111100010111…
…010001100000
31002202221101220
4330113101200
513022331333
61323055040
7251334006
oct74272140
932687356
1015823968
118a28866
125371480
1333806c4
14215ca76
1515c88b3
hexf17460

15823968 has 48 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 5240960.

The previous prime is 15823967. The next prime is 15823987. The reversal of 15823968 is 86932851.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15823963) 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 7 ways as a sum of consecutive naturals, for example, 17905 + ... + 18767.

It is an arithmetic number, because the mean of its divisors is an integer number (870912).

Almost surely, 215823968 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 15823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

15823968 is an abundant number, since it is smaller than the sum of its proper divisors (25979808).

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

15823968 is a wasteful number, since it uses less digits than its factorization.

15823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 15823968 is about 3977.9351427594. The cubic root of 15823968 is about 251.0566899989.

The spelling of 15823968 in words is "fifteen million, eight hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 863 1146 1528 1726 2292 2589 3056 3452 4584 5178 6112 6904 9168 10356 13808 18336 20712 27616 41424 82848 164833 329666 494499 659332 988998 1318664 1977996 2637328 3955992 5274656 7911984 15823968