Search a number
-
+
18632680 = 23511174753
BaseRepresentation
bin100011100010…
…0111111101000
31022001122020021
41013010333220
514232221210
61503210224
7314242453
oct107047750
938048207
1018632680
11a577010
1262a6974
133b24c71
14269049a
151980bda
hex11c4fe8

18632680 has 128 divisors (see below), whose sum is σ = 50388480. Its totient is φ = 6123520.

The previous prime is 18632671. The next prime is 18632687. The reversal of 18632680 is 8623681.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (18632687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351534 + ... + 351586.

It is an arithmetic number, because the mean of its divisors is an integer number (393660).

Almost surely, 218632680 is an apocalyptic number.

18632680 is a gapful number since it is divisible by the number (10) 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 18632680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25194240).

18632680 is an abundant number, since it is smaller than the sum of its proper divisors (31755800).

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

18632680 is a wasteful number, since it uses less digits than its factorization.

18632680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 18632680 is about 4316.5588146115. The cubic root of 18632680 is about 265.1093888017.

The spelling of 18632680 in words is "eighteen million, six hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 47 53 55 68 85 88 94 106 110 136 170 187 188 212 220 235 265 340 374 376 424 440 470 517 530 583 680 748 799 901 935 940 1034 1060 1166 1496 1598 1802 1870 1880 2068 2120 2332 2491 2585 2915 3196 3604 3740 3995 4136 4505 4664 4982 5170 5830 6392 7208 7480 7990 8789 9010 9911 9964 10340 11660 12455 15980 17578 18020 19822 19928 20680 23320 24910 27401 31960 35156 36040 39644 42347 43945 49555 49820 54802 70312 79288 84694 87890 99110 99640 109604 137005 169388 175780 198220 211735 219208 274010 338776 351560 396440 423470 465817 548020 846940 931634 1096040 1693880 1863268 2329085 3726536 4658170 9316340 18632680