Search a number
-
+
18968796 = 22337112281
BaseRepresentation
bin100100001011…
…1000011011100
31022200201022000
41020113003130
514324000141
61514322300
7320142420
oct110270334
938621260
1018968796
11a7865a0
126429390
133c11c52
14273ab80
1519ea5b6
hex12170dc

18968796 has 96 divisors (see below), whose sum is σ = 61340160. Its totient is φ = 4924800.

The previous prime is 18968791. The next prime is 18968797. The reversal of 18968796 is 69786981.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1306368) is a multiple of the sum of its prime divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18968791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7176 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (638960).

Almost surely, 218968796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18968796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30670080).

18968796 is an abundant number, since it is smaller than the sum of its proper divisors (42371364).

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

18968796 is a wasteful number, since it uses less digits than its factorization.

18968796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2304 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 18968796 is about 4355.3181284494. The cubic root of 18968796 is about 266.6940062247.

The spelling of 18968796 in words is "eighteen million, nine hundred sixty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2281 2772 4158 4562 6843 8316 9124 13686 15967 20529 25091 27372 31934 41058 47901 50182 61587 63868 75273 82116 95802 100364 123174 143703 150546 175637 191604 225819 246348 287406 301092 351274 431109 451638 526911 574812 677457 702548 862218 903276 1053822 1354914 1580733 1724436 2107644 2709828 3161466 4742199 6322932 9484398 18968796