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23256240 = 24357109127
BaseRepresentation
bin101100010110…
…1110010110000
31121202112120020
41120231302300
521423144430
62150243440
7401450310
oct130556260
947675506
1023256240
1112144837
127956580
134a835b7
143135440
152095b10
hex162dcb0

23256240 has 160 divisors (see below), whose sum is σ = 83804160. Its totient is φ = 5225472.

The previous prime is 23256227. The next prime is 23256251. The reversal of 23256240 is 4265232.

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 23256240.

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, 183057 + ... + 183183.

It is an arithmetic number, because the mean of its divisors is an integer number (523776).

Almost surely, 223256240 is an apocalyptic number.

23256240 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 23256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41902080).

23256240 is an abundant number, since it is smaller than the sum of its proper divisors (60547920).

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

23256240 is a wasteful number, since it uses less digits than its factorization.

23256240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 23256240 is about 4822.4723949443. The cubic root of 23256240 is about 285.4389051409.

The spelling of 23256240 in words is "twenty-three million, two hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 109 112 120 127 140 168 210 218 240 254 280 327 336 381 420 436 508 545 560 635 654 762 763 840 872 889 1016 1090 1270 1308 1524 1526 1635 1680 1744 1778 1905 2032 2180 2289 2540 2616 2667 3048 3052 3270 3556 3810 3815 4360 4445 4578 5080 5232 5334 6096 6104 6540 7112 7620 7630 8720 8890 9156 10160 10668 11445 12208 13080 13335 13843 14224 15240 15260 17780 18312 21336 22890 26160 26670 27686 30480 30520 35560 36624 41529 42672 45780 53340 55372 61040 69215 71120 83058 91560 96901 106680 110744 138430 166116 183120 193802 207645 213360 221488 276860 290703 332232 387604 415290 484505 553720 581406 664464 775208 830580 969010 1107440 1162812 1453515 1550416 1661160 1938020 2325624 2907030 3322320 3876040 4651248 5814060 7752080 11628120 23256240