Search a number
-
+
23055984 = 2432789257
BaseRepresentation
bin101011111110…
…0111001110000
31121101100212100
41113330321300
521400242414
62142100400
7366654420
oct127747160
947340770
1023055984
1112018336
12787a700
134a133c3
1430c2480
152056609
hex15fce70

23055984 has 120 divisors (see below), whose sum is σ = 74861280. Its totient is φ = 6488064.

The previous prime is 23055983. The next prime is 23056003. The reversal of 23055984 is 48955032.

23055984 is a `hidden beast` number, since 23 + 0 + 559 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23055983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89584 + ... + 89840.

It is an arithmetic number, because the mean of its divisors is an integer number (623844).

Almost surely, 223055984 is an apocalyptic number.

23055984 is a gapful number since it is divisible by the number (24) 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 23055984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37430640).

23055984 is an abundant number, since it is smaller than the sum of its proper divisors (51805296).

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

23055984 is a wasteful number, since it uses less digits than its factorization.

23055984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 23055984 is about 4801.6647113267. The cubic root of 23055984 is about 284.6172516744.

The spelling of 23055984 in words is "twenty-three million, fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 257 267 336 356 504 514 534 623 712 771 801 1008 1028 1068 1246 1424 1542 1602 1799 1869 2056 2136 2313 2492 3084 3204 3598 3738 4112 4272 4626 4984 5397 5607 6168 6408 7196 7476 9252 9968 10794 11214 12336 12816 14392 14952 16191 18504 21588 22428 22873 28784 29904 32382 37008 43176 44856 45746 64764 68619 86352 89712 91492 129528 137238 160111 182984 205857 259056 274476 320222 365968 411714 480333 548952 640444 823428 960666 1097904 1280888 1440999 1646856 1921332 2561776 2881998 3293712 3842664 5763996 7685328 11527992 23055984