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23285640 = 23357191459
BaseRepresentation
bin101100011010…
…0111110001000
31121211000220010
41120310332020
521430120030
62151031520
7401632110
oct130647610
947730803
1023285640
1112164934
12796b5a0
134a93ab1
143142040
15209e6b0
hex1634f88

23285640 has 128 divisors (see below), whose sum is σ = 84096000. Its totient is φ = 5038848.

The previous prime is 23285623. The next prime is 23285641. The reversal of 23285640 is 4658232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23285598 and 23285607.

It is not an unprimeable number, because it can be changed into a prime (23285641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15231 + ... + 16689.

It is an arithmetic number, because the mean of its divisors is an integer number (657000).

Almost surely, 223285640 is an apocalyptic number.

23285640 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 23285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42048000).

23285640 is an abundant number, since it is smaller than the sum of its proper divisors (60810360).

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

23285640 is a wasteful number, since it uses less digits than its factorization.

23285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23285640 is about 4825.5196611350. The cubic root of 23285640 is about 285.5591362417.

The spelling of 23285640 in words is "twenty-three million, two hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1459 1596 1995 2280 2660 2918 3192 3990 4377 5320 5836 7295 7980 8754 10213 11672 14590 15960 17508 20426 21885 27721 29180 30639 35016 40852 43770 51065 55442 58360 61278 81704 83163 87540 102130 110884 122556 138605 153195 166326 175080 194047 204260 221768 245112 277210 306390 332652 388094 408520 415815 554420 582141 612780 665304 776188 831630 970235 1108840 1164282 1225560 1552376 1663260 1940470 2328564 2910705 3326520 3880940 4657128 5821410 7761880 11642820 23285640