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23112960 = 283513463
BaseRepresentation
bin101100000101…
…0110100000000
31121111021000120
41120022310000
521404103320
62143220240
7400312503
oct130126400
947437016
1023112960
1112057122
1278a7680
134a33310
1430d913a
152068440
hex160ad00

23112960 has 144 divisors (see below), whose sum is σ = 79666944. Its totient is φ = 5677056.

The previous prime is 23112959. The next prime is 23112977. The reversal of 23112960 is 6921132.

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 23112960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49689 + ... + 50151.

Almost surely, 223112960 is an apocalyptic number.

23112960 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 23112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39833472).

23112960 is an abundant number, since it is smaller than the sum of its proper divisors (56553984).

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

23112960 is a wasteful number, since it uses less digits than its factorization.

23112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 23112960 is about 4807.5939928409. The cubic root of 23112960 is about 284.8515077483.

The spelling of 23112960 in words is "twenty-three million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 463 480 520 624 640 768 780 832 926 960 1040 1248 1280 1389 1560 1664 1852 1920 2080 2315 2496 2778 3120 3328 3704 3840 4160 4630 4992 5556 6019 6240 6945 7408 8320 9260 9984 11112 12038 12480 13890 14816 16640 18057 18520 22224 24076 24960 27780 29632 30095 36114 37040 44448 48152 49920 55560 59264 60190 72228 74080 88896 90285 96304 111120 118528 120380 144456 148160 177792 180570 192608 222240 240760 288912 296320 355584 361140 385216 444480 481520 577824 592640 722280 770432 888960 963040 1155648 1444560 1540864 1777920 1926080 2311296 2889120 3852160 4622592 5778240 7704320 11556480 23112960