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20791272 = 23317131389
BaseRepresentation
bin100111101001…
…1111111101000
31110010022021010
41033103333220
520310310042
62021343520
7341502645
oct117237750
943108233
1020791272
1110810877
126b67ba0
1343cc638
142a92dcc
151c5a59c
hex13d3fe8

20791272 has 64 divisors (see below), whose sum is σ = 55598400. Its totient is φ = 6456320.

The previous prime is 20791261. The next prime is 20791273. The reversal of 20791272 is 27219702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20791273) 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, 53254 + ... + 53642.

It is an arithmetic number, because the mean of its divisors is an integer number (868725).

Almost surely, 220791272 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 20791272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799200).

20791272 is an abundant number, since it is smaller than the sum of its proper divisors (34807128).

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

20791272 is a wasteful number, since it uses less digits than its factorization.

20791272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 20791272 is about 4559.7447296970. The cubic root of 20791272 is about 274.9753013631.

The spelling of 20791272 in words is "twenty million, seven hundred ninety-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 389 393 408 524 778 786 1048 1167 1556 1572 2227 2334 3112 3144 4454 4668 6613 6681 8908 9336 13226 13362 17816 19839 26452 26724 39678 50959 52904 53448 79356 101918 152877 158712 203836 305754 407672 611508 866303 1223016 1732606 2598909 3465212 5197818 6930424 10395636 20791272