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23823968 = 257106357
BaseRepresentation
bin101101011100…
…0011001100000
31122211101100012
41122320121200
522044331333
62210344052
7406333430
oct132703140
948741305
1023823968
11124a2333
127b8b028
134c21b2c
1432422c0
152158e48
hex16b8660

23823968 has 24 divisors (see below), whose sum is σ = 53604432. Its totient is φ = 10210176.

The previous prime is 23823959. The next prime is 23823983. The reversal of 23823968 is 86932832.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52955 + ... + 53402.

It is an arithmetic number, because the mean of its divisors is an integer number (2233518).

Almost surely, 223823968 is an apocalyptic number.

23823968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23823968 is an abundant number, since it is smaller than the sum of its proper divisors (29780464).

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

23823968 is a wasteful number, since it uses less digits than its factorization.

23823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106374 (or 106366 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 23823968 is about 4880.9802294211. The cubic root of 23823968 is about 287.7429548072.

The spelling of 23823968 in words is "twenty-three million, eight hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 106357 212714 425428 744499 850856 1488998 1701712 2977996 3403424 5955992 11911984 23823968