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23496768 = 2632192113
BaseRepresentation
bin101100110100…
…0100001000000
31122012202111200
41121220201000
522003344033
62155341200
7403501461
oct131504100
948182450
1023496768
1112299519
127a51800
134b38c19
143198d68
1520e2013
hex1668840

23496768 has 126 divisors (see below), whose sum is σ = 71709534. Its totient is φ = 7354368.

The previous prime is 23496763. The next prime is 23496769. The reversal of 23496768 is 86769432.

It can be written as a sum of positive squares in only one way, i.e., 13307904 + 10188864 = 3648^2 + 3192^2 .

It is not an unprimeable number, because it can be changed into a prime (23496761) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207880 + ... + 207992.

Almost surely, 223496768 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 23496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35854767).

23496768 is an abundant number, since it is smaller than the sum of its proper divisors (48212766).

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

23496768 is a wasteful number, since it uses less digits than its factorization.

23496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

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

The square root of 23496768 is about 4847.3464906070. The cubic root of 23496768 is about 286.4195839838.

The spelling of 23496768 in words is "twenty-three million, four hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 113 114 144 152 171 192 226 228 288 304 339 342 361 452 456 576 608 678 684 722 904 912 1017 1083 1216 1356 1368 1444 1808 1824 2034 2147 2166 2712 2736 2888 3249 3616 3648 4068 4294 4332 5424 5472 5776 6441 6498 7232 8136 8588 8664 10848 10944 11552 12882 12996 16272 17176 17328 19323 21696 23104 25764 25992 32544 34352 34656 38646 40793 51528 51984 65088 68704 69312 77292 81586 103056 103968 122379 137408 154584 163172 206112 207936 244758 309168 326344 367137 412224 489516 618336 652688 734274 979032 1236672 1305376 1468548 1958064 2610752 2937096 3916128 5874192 7832256 11748384 23496768