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23145360 = 2435723599
BaseRepresentation
bin101100001001…
…0101110010000
31121112220110120
41120102232100
521411122420
62144030240
7400506120
oct130225620
947486416
1023145360
11120794a7
127902380
134a44ca4
143106c80
152072d40
hex1612b90

23145360 has 160 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 5051904.

The previous prime is 23145359. The next prime is 23145371. The reversal of 23145360 is 6354132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23145360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38341 + ... + 38939.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 223145360 is an apocalyptic number.

23145360 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 23145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

23145360 is an abundant number, since it is smaller than the sum of its proper divisors (62563440).

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

23145360 is a wasteful number, since it uses less digits than its factorization.

23145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23145360 is about 4810.9624816662. The cubic root of 23145360 is about 284.9845482543.

Adding to 23145360 its reverse (6354132), we get a palindrome (29499492).

The spelling of 23145360 in words is "twenty-three million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 599 644 690 805 840 920 966 1104 1198 1288 1380 1610 1680 1797 1840 1932 2396 2415 2576 2760 2995 3220 3594 3864 4193 4792 4830 5520 5990 6440 7188 7728 8386 8985 9584 9660 11980 12579 12880 13777 14376 16772 17970 19320 20965 23960 25158 27554 28752 33544 35940 38640 41331 41930 47920 50316 55108 62895 67088 68885 71880 82662 83860 96439 100632 110216 125790 137770 143760 165324 167720 192878 201264 206655 220432 251580 275540 289317 330648 335440 385756 413310 482195 503160 551080 578634 661296 771512 826620 964390 1006320 1102160 1157268 1446585 1543024 1653240 1928780 2314536 2893170 3306480 3857560 4629072 5786340 7715120 11572680 23145360