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20017272 = 23311261113
BaseRepresentation
bin100110001011…
…1000001111000
31101122222112110
41030113001320
520111023042
61553012320
7332100252
oct114270170
941588473
1020017272
1110332300
1268540a0
1341bb252
142930cd2
151b5609c
hex1317078

20017272 has 96 divisors (see below), whose sum is σ = 56402640. Its totient is φ = 5913600.

The previous prime is 20017247. The next prime is 20017301. The reversal of 20017272 is 27271002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177088 + ... + 177200.

Almost surely, 220017272 is an apocalyptic number.

20017272 is a gapful number since it is divisible by the number (22) 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 20017272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201320).

20017272 is an abundant number, since it is smaller than the sum of its proper divisors (36385368).

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

20017272 is a wasteful number, since it uses less digits than its factorization.

20017272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 20017272 is about 4474.0666065672. The cubic root of 20017272 is about 271.5198782118.

Adding to 20017272 its reverse (27271002), we get a palindrome (47288274).

The spelling of 20017272 in words is "twenty million, seventeen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 113 121 122 132 183 226 242 244 264 339 363 366 452 484 488 671 678 726 732 904 968 1243 1342 1356 1452 1464 2013 2486 2684 2712 2904 3729 4026 4972 5368 6893 7381 7458 8052 9944 13673 13786 14762 14916 16104 20679 22143 27346 27572 29524 29832 41019 41358 44286 54692 55144 59048 75823 82038 82716 88572 109384 151646 164076 165432 177144 227469 303292 328152 454938 606584 834053 909876 1668106 1819752 2502159 3336212 5004318 6672424 10008636 20017272