Search a number
-
+
18680592 = 2437531049
BaseRepresentation
bin100011101000…
…0101100010000
31022011001221210
41013100230100
514240234332
61504220120
7314532240
oct107205420
938131853
1018680592
11a5aa007
12630a640
133b40a08
1426a3b20
15198eecc
hex11d0b10

18680592 has 80 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 5231616.

The previous prime is 18680549. The next prime is 18680593. The reversal of 18680592 is 29508681.

It is a self number, because there is not a number n which added to its sum of digits gives 18680592.

It is not an unprimeable number, because it can be changed into a prime (18680593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17284 + ... + 18332.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 218680592 is an apocalyptic number.

18680592 is a gapful number since it is divisible by the number (12) 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 18680592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

18680592 is an abundant number, since it is smaller than the sum of its proper divisors (37565808).

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

18680592 is a wasteful number, since it uses less digits than its factorization.

18680592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 18680592 is about 4322.1050426846. The cubic root of 18680592 is about 265.3364280563.

The spelling of 18680592 in words is "eighteen million, six hundred eighty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1049 1113 1272 1484 2098 2226 2544 2968 3147 4196 4452 5936 6294 7343 8392 8904 12588 14686 16784 17808 22029 25176 29372 44058 50352 55597 58744 88116 111194 117488 166791 176232 222388 333582 352464 389179 444776 667164 778358 889552 1167537 1334328 1556716 2335074 2668656 3113432 4670148 6226864 9340296 18680592