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20849268 = 22311283173
BaseRepresentation
bin100111110001…
…0001001110100
31110020020211010
41033202021310
520314134033
62022512220
7342134016
oct117421164
943206733
1020849268
1110850400
126b95670
13441cb5b
142aaa1b6
151c6c863
hex13e2274

20849268 has 72 divisors (see below), whose sum is σ = 54429984. Its totient is φ = 6205760.

The previous prime is 20849263. The next prime is 20849273. The reversal of 20849268 is 86294802.

It is an interprime number because it is at equal distance from previous prime (20849263) and next prime (20849273).

It is a super-2 number, since 2×208492682 = 869383952271648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20849263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120430 + ... + 120602.

It is an arithmetic number, because the mean of its divisors is an integer number (755972).

Almost surely, 220849268 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 20849268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27214992).

20849268 is an abundant number, since it is smaller than the sum of its proper divisors (33580716).

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

20849268 is a wasteful number, since it uses less digits than its factorization.

20849268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 20849268 is about 4566.0998675018. The cubic root of 20849268 is about 275.2307396763.

The spelling of 20849268 in words is "twenty million, eight hundred forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 166 173 242 249 332 346 363 484 498 519 692 726 913 996 1038 1452 1826 1903 2076 2739 3652 3806 5478 5709 7612 10043 10956 11418 14359 20086 20933 22836 28718 30129 40172 41866 43077 57436 60258 62799 83732 86154 120516 125598 157949 172308 251196 315898 473847 631796 947694 1737439 1895388 3474878 5212317 6949756 10424634 20849268