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23893920 = 253355531
BaseRepresentation
bin101101100100…
…1011110100000
31122221221022000
41123021132200
522104101140
62212044000
7410044401
oct133113640
948857260
1023893920
111253a946
128003600
134c4791b
14325d9a8
15216ea30
hex16c97a0

23893920 has 96 divisors (see below), whose sum is σ = 83643840. Its totient is φ = 6370560.

The previous prime is 23893889. The next prime is 23893921. The reversal of 23893920 is 2939832.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (23893921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555 + ... + 7085.

It is an arithmetic number, because the mean of its divisors is an integer number (871290).

Almost surely, 223893920 is an apocalyptic number.

23893920 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 23893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41821920).

23893920 is an abundant number, since it is smaller than the sum of its proper divisors (59749920).

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

23893920 is a wasteful number, since it uses less digits than its factorization.

23893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 23893920 is about 4888.1407508377. The cubic root of 23893920 is about 288.0243035046.

The spelling of 23893920 in words is "twenty-three million, eight hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5531 11062 16593 22124 27655 33186 44248 49779 55310 66372 82965 88496 99558 110620 132744 149337 165930 176992 199116 221240 248895 265488 298674 331860 398232 442480 497790 530976 597348 663720 746685 796464 884960 995580 1194696 1327440 1493370 1592928 1991160 2389392 2654880 2986740 3982320 4778784 5973480 7964640 11946960 23893920