Search a number
-
+
20281880 = 2354183149
BaseRepresentation
bin100110101011…
…1101000011000
31102011102111202
41031113220120
520143010010
62002413332
7334251563
oct115275030
942142452
1020281880
11104a3093
126961248
134281818
14299d4da
151ba96a5
hex1357a18

20281880 has 64 divisors (see below), whose sum is σ = 47628000. Its totient is φ = 7767040.

The previous prime is 20281879. The next prime is 20281889. The reversal of 20281880 is 8818202.

20281880 = T409 + T410 + ... + T574.

It is a super-2 number, since 2×202818802 = 822709312668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20281889) 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, 136046 + ... + 136194.

Almost surely, 220281880 is an apocalyptic number.

20281880 is a gapful number since it is divisible by the number (20) 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 20281880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23814000).

20281880 is an abundant number, since it is smaller than the sum of its proper divisors (27346120).

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

20281880 is a wasteful number, since it uses less digits than its factorization.

20281880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 20281880 is about 4503.5408291699. The cubic root of 20281880 is about 272.7110504829.

The spelling of 20281880 in words is "twenty million, two hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 149 164 166 205 298 328 332 410 415 596 664 745 820 830 1192 1490 1640 1660 2980 3320 3403 5960 6109 6806 12218 12367 13612 17015 24436 24734 27224 30545 34030 48872 49468 61090 61835 68060 98936 122180 123670 136120 244360 247340 494680 507047 1014094 2028188 2535235 4056376 5070470 10140940 20281880