Search a number
-
+
18969768 = 2333312833
BaseRepresentation
bin100100001011…
…1010010101000
31022200202122000
41020113102220
514324013033
61514331000
7320145306
oct110272250
938622560
1018969768
11a7872a4
126429a60
133c1251c
14273b276
1519eaa13
hex12174a8

18969768 has 64 divisors (see below), whose sum is σ = 54412800. Its totient is φ = 6117120.

The previous prime is 18969767. The next prime is 18969781. The reversal of 18969768 is 86796981.

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

It is not an unprimeable number, because it can be changed into a prime (18969767) 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, 5280 + ... + 8112.

It is an arithmetic number, because the mean of its divisors is an integer number (850200).

Almost surely, 218969768 is an apocalyptic number.

18969768 is a gapful number since it is divisible by the number (18) 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 18969768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27206400).

18969768 is an abundant number, since it is smaller than the sum of its proper divisors (35443032).

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

18969768 is a wasteful number, since it uses less digits than its factorization.

18969768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2869 counting only the distinct ones).

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

The square root of 18969768 is about 4355.4297147354. The cubic root of 18969768 is about 266.6985614628.

It can be divided in two parts, 1896 and 9768, that added together give a square (11664 = 1082).

The spelling of 18969768 in words is "eighteen million, nine hundred sixty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 2833 3348 5666 6696 8499 11332 16998 22664 25497 33996 50994 67992 76491 87823 101988 152982 175646 203976 263469 305964 351292 526938 611928 702584 790407 1053876 1580814 2107752 2371221 3161628 4742442 6323256 9484884 18969768