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20813892 = 223111943193
BaseRepresentation
bin100111101100…
…1100001000100
31110011110021220
41033121201010
520312021032
62022040340
7341625621
oct117314104
943143256
1020813892
1110826870
126b790b0
134409a18
142a9b348
151c6212c
hex13d9844

20813892 has 96 divisors (see below), whose sum is σ = 57361920. Its totient is φ = 5806080.

The previous prime is 20813887. The next prime is 20813921. The reversal of 20813892 is 29831802.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 107748 + ... + 107940.

It is an arithmetic number, because the mean of its divisors is an integer number (597520).

Almost surely, 220813892 is an apocalyptic number.

20813892 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 20813892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28680960).

20813892 is an abundant number, since it is smaller than the sum of its proper divisors (36548028).

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

20813892 is a wasteful number, since it uses less digits than its factorization.

20813892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 20813892 is about 4562.2244574330. The cubic root of 20813892 is about 275.0749856120.

The spelling of 20813892 in words is "twenty million, eight hundred thirteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 43 44 57 66 76 86 114 129 132 172 193 209 228 258 386 418 473 516 579 627 772 817 836 946 1158 1254 1419 1634 1892 2123 2316 2451 2508 2838 3268 3667 4246 4902 5676 6369 7334 8299 8492 8987 9804 11001 12738 14668 16598 17974 22002 24897 25476 26961 33196 35948 40337 44004 49794 53922 80674 91289 99588 107844 121011 157681 161348 182578 242022 273867 315362 365156 473043 484044 547734 630724 946086 1095468 1734491 1892172 3468982 5203473 6937964 10406946 20813892