Search a number
-
+
20924892 = 22341729131
BaseRepresentation
bin100111111010…
…0100111011100
31110101002120000
41033310213130
520324044032
62024254300
7342600342
oct117644734
943332500
1020924892
11108a21aa
127011390
1344483c1
142ac9992
151c84e7c
hex13f49dc

20924892 has 120 divisors (see below), whose sum is σ = 60374160. Its totient is φ = 6289920.

The previous prime is 20924887. The next prime is 20924899. The reversal of 20924892 is 29842902.

It is a super-2 number, since 2×209248922 = 875702210423328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20924899) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159667 + ... + 159797.

It is an arithmetic number, because the mean of its divisors is an integer number (503118).

Almost surely, 220924892 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 20924892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30187080).

20924892 is an abundant number, since it is smaller than the sum of its proper divisors (39449268).

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

20924892 is a wasteful number, since it uses less digits than its factorization.

20924892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20924892 is about 4574.3733997128. The cubic root of 20924892 is about 275.5631084134.

The spelling of 20924892 in words is "twenty million, nine hundred twenty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 81 87 102 108 116 131 153 162 174 204 261 262 306 324 348 393 459 493 522 524 612 783 786 918 986 1044 1179 1377 1479 1566 1572 1836 1972 2227 2349 2358 2754 2958 3132 3537 3799 4437 4454 4698 4716 5508 5916 6681 7074 7598 8874 8908 9396 10611 11397 13311 13362 14148 15196 17748 20043 21222 22794 26622 26724 34191 39933 40086 42444 45588 53244 60129 64583 68382 79866 80172 102573 120258 129166 136764 159732 180387 193749 205146 240516 258332 307719 360774 387498 410292 581247 615438 721548 774996 1162494 1230876 1743741 2324988 3487482 5231223 6974964 10462446 20924892