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23897664 = 263275927
BaseRepresentation
bin101101100101…
…0011001000000
31122222010102200
41123022121000
522104211124
62212113200
7410061330
oct133123100
948863380
1023897664
111254273a
128005800
134c4953b
1432610c0
152170bc9
hex16ca640

23897664 has 84 divisors (see below), whose sum is σ = 78297024. Its totient is φ = 6826752.

The previous prime is 23897651. The next prime is 23897669. The reversal of 23897664 is 46679832.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23897669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 6995.

Almost surely, 223897664 is an apocalyptic number.

23897664 is a gapful number since it is divisible by the number (24) 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 23897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39148512).

23897664 is an abundant number, since it is smaller than the sum of its proper divisors (54399360).

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

23897664 is a wasteful number, since it uses less digits than its factorization.

23897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5939 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 23897664 is about 4888.5237035326. The cubic root of 23897664 is about 288.0393464761.

The spelling of 23897664 in words is "twenty-three million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5927 11854 17781 23708 35562 41489 47416 53343 71124 82978 94832 106686 124467 142248 165956 189664 213372 248934 284496 331912 373401 379328 426744 497868 568992 663824 746802 853488 995736 1137984 1327648 1493604 1706976 1991472 2655296 2987208 3413952 3982944 5974416 7965888 11948832 23897664