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20441160 = 23365701
BaseRepresentation
bin100110111111…
…0100001001000
31102110112000000
41031332201020
520213104120
62010043000
7335514135
oct115764110
942415000
1020441160
11105a1823
126a19460
13430917c
142a0158c
151bdb990
hex137e848

20441160 has 112 divisors (see below), whose sum is σ = 69055740. Its totient is φ = 5443200.

The previous prime is 20441159. The next prime is 20441167. The reversal of 20441160 is 6114402.

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 352836 = 4482^2 + 594^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20441167) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28810 + ... + 29510.

Almost surely, 220441160 is an apocalyptic number.

20441160 is a gapful number since it is divisible by the number (20) 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 20441160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34527870).

20441160 is an abundant number, since it is smaller than the sum of its proper divisors (48614580).

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

20441160 is an equidigital number, since it uses as much as digits as its factorization.

20441160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20441160 is about 4521.1901088098. The cubic root of 20441160 is about 273.4230850741.

Adding to 20441160 its reverse (6114402), we get a palindrome (26555562).

The spelling of 20441160 in words is "twenty million, four hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 701 729 810 972 1080 1215 1402 1458 1620 1944 2103 2430 2804 2916 3240 3505 3645 4206 4860 5608 5832 6309 7010 7290 8412 9720 10515 12618 14020 14580 16824 18927 21030 25236 28040 29160 31545 37854 42060 50472 56781 63090 75708 84120 94635 113562 126180 151416 170343 189270 227124 252360 283905 340686 378540 454248 511029 567810 681372 757080 851715 1022058 1135620 1362744 1703430 2044116 2271240 2555145 3406860 4088232 5110290 6813720 10220580 20441160