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23393920 = 275113323
BaseRepresentation
bin101100100111…
…1011010000000
31122000112102111
41121033122000
521442101140
62153225104
7402562564
oct131173200
948015374
1023393920
1112229220
127a02194
134b01174
14316d6a4
1520c17ea
hex164f680

23393920 has 64 divisors (see below), whose sum is σ = 61028640. Its totient is φ = 8504320.

The previous prime is 23393897. The next prime is 23393941. The reversal of 23393920 is 2939332.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 5379 + ... + 8701.

Almost surely, 223393920 is an apocalyptic number.

23393920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30514320).

23393920 is an abundant number, since it is smaller than the sum of its proper divisors (37634720).

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

23393920 is a wasteful number, since it uses less digits than its factorization.

23393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 23393920 is about 4836.7261654967. The cubic root of 23393920 is about 286.0010758432.

The spelling of 23393920 in words is "twenty-three million, three hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3323 3520 6646 7040 13292 16615 26584 33230 36553 53168 66460 73106 106336 132920 146212 182765 212672 265840 292424 365530 425344 531680 584848 731060 1063360 1169696 1462120 2126720 2339392 2924240 4678784 5848480 11696960 23393920