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23463936 = 211321967
BaseRepresentation
bin101100110000…
…0100000000000
31122011002110200
41121200200000
522001321221
62154525200
7403303656
oct131404000
948132420
1023463936
1112276891
127a36800
134b26cb2
14318add6
1520d7426
hex1660800

23463936 has 144 divisors (see below), whose sum is σ = 72399600. Its totient is φ = 7299072.

The previous prime is 23463919. The next prime is 23463941. The reversal of 23463936 is 63936432.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×234639362 = 1101112585224192, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 23463936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350175 + ... + 350241.

It is an arithmetic number, because the mean of its divisors is an integer number (502775).

Almost surely, 223463936 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 23463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36199800).

23463936 is an abundant number, since it is smaller than the sum of its proper divisors (48935664).

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

23463936 is a wasteful number, since it uses less digits than its factorization.

23463936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 23463936 is about 4843.9587116325. The cubic root of 23463936 is about 286.2861172431.

The spelling of 23463936 in words is "twenty-three million, four hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 67 72 76 96 114 128 134 144 152 171 192 201 228 256 268 288 304 342 384 402 456 512 536 576 603 608 684 768 804 912 1024 1072 1152 1206 1216 1273 1368 1536 1608 1824 2048 2144 2304 2412 2432 2546 2736 3072 3216 3648 3819 4288 4608 4824 4864 5092 5472 6144 6432 7296 7638 8576 9216 9648 9728 10184 10944 11457 12864 14592 15276 17152 18432 19296 19456 20368 21888 22914 25728 29184 30552 34304 38592 38912 40736 43776 45828 51456 58368 61104 68608 77184 81472 87552 91656 102912 116736 122208 137216 154368 162944 175104 183312 205824 244416 308736 325888 350208 366624 411648 488832 617472 651776 733248 977664 1234944 1303552 1466496 1955328 2607104 2932992 3910656 5865984 7821312 11731968 23463936