Search a number
-
+
20757060 = 223554271
BaseRepresentation
bin100111100101…
…1101001000100
31110001120100000
41033023221010
520303211220
62020521300
7341301132
oct117135104
943046300
1020757060
11107980a5
126b50230
1343b9bac
142a84752
151c50390
hex13cba44

20757060 has 72 divisors (see below), whose sum is σ = 65310336. Its totient is φ = 5533920.

The previous prime is 20757049. The next prime is 20757071. The reversal of 20757060 is 6075702.

It is an interprime number because it is at equal distance from previous prime (20757049) and next prime (20757071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2725 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (907088).

Almost surely, 220757060 is an apocalyptic number.

20757060 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 20757060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32655168).

20757060 is an abundant number, since it is smaller than the sum of its proper divisors (44553276).

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

20757060 is a wasteful number, since it uses less digits than its factorization.

20757060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 20757060 is about 4555.9916593427. The cubic root of 20757060 is about 274.8243947757.

The spelling of 20757060 in words is "twenty million, seven hundred fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4271 4860 8542 12813 17084 21355 25626 38439 42710 51252 64065 76878 85420 115317 128130 153756 192195 230634 256260 345951 384390 461268 576585 691902 768780 1037853 1153170 1383804 1729755 2075706 2306340 3459510 4151412 5189265 6919020 10378530 20757060