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23406768 = 24327112111
BaseRepresentation
bin101100101001…
…0100010110000
31122001012001100
41121102202300
521443004033
62153404400
7402645210
oct131224260
948035040
1023406768
1112237940
127a09700
134b06c78
143174240
1520c5513
hex16528b0

23406768 has 120 divisors (see below), whose sum is σ = 81709056. Its totient is φ = 6076800.

The previous prime is 23406751. The next prime is 23406781. The reversal of 23406768 is 86760432.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10033 + ... + 12143.

Almost surely, 223406768 is an apocalyptic number.

23406768 is a gapful number since it is divisible by the number (28) 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 23406768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528).

23406768 is an abundant number, since it is smaller than the sum of its proper divisors (58302288).

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

23406768 is a wasteful number, since it uses less digits than its factorization.

23406768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 23406768 is about 4838.0541543063. The cubic root of 23406768 is about 286.0534237658.

The spelling of 23406768 in words is "twenty-three million, four hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2111 2772 3696 4222 5544 6333 8444 11088 12666 14777 16888 18999 23221 25332 29554 33776 37998 44331 46442 50664 59108 69663 75996 88662 92884 101328 118216 132993 139326 151992 162547 177324 185768 208989 236432 265986 278652 303984 325094 354648 371536 417978 487641 531972 557304 650188 709296 835956 975282 1063944 1114608 1300376 1462923 1671912 1950564 2127888 2600752 2925846 3343824 3901128 5851692 7802256 11703384 23406768