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20325136 = 24131937139
BaseRepresentation
bin100110110001…
…0001100010000
31102020121211211
41031202030100
520200401021
62003345504
7334521646
oct115421420
942217754
1020325136
1110522637
126982294
134298410
1429b1196
151bb73e1
hex1362310

20325136 has 80 divisors (see below), whose sum is σ = 46177600. Its totient is φ = 8584704.

The previous prime is 20325133. The next prime is 20325161. The reversal of 20325136 is 63152302.

It is a super-2 number, since 2×203251362 = 826222306836992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20325131) 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, 146155 + ... + 146293.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 220325136 is an apocalyptic number.

20325136 is a gapful number since it is divisible by the number (26) 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 20325136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23088800).

20325136 is an abundant number, since it is smaller than the sum of its proper divisors (25852464).

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

20325136 is a wasteful number, since it uses less digits than its factorization.

20325136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 20325136 is about 4508.3407147198. The cubic root of 20325136 is about 272.9047868444.

Adding to 20325136 its reverse (63152302), we get a palindrome (83477438).

The spelling of 20325136 in words is "twenty million, three hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 104 139 148 152 208 247 278 296 304 481 494 556 592 703 962 988 1112 1406 1807 1924 1976 2224 2641 2812 3614 3848 3952 5143 5282 5624 7228 7696 9139 10286 10564 11248 14456 18278 20572 21128 28912 34333 36556 41144 42256 66859 68666 73112 82288 97717 133718 137332 146224 195434 267436 274664 390868 534872 549328 781736 1069744 1270321 1563472 2540642 5081284 10162568 20325136