Search a number
-
+
20504880 = 2433511863
BaseRepresentation
bin100111000111…
…0000100110000
31102120202102000
41032032010300
520222124010
62011254000
7336200664
oct116160460
942522360
1020504880
1110635690
126a4a300
13432c186
142a1a8a4
151c007c0
hex138e130

20504880 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 4965120.

The previous prime is 20504843. The next prime is 20504903. The reversal of 20504880 is 8840502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23329 + ... + 24191.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 220504880 is an apocalyptic number.

20504880 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 20504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

20504880 is an abundant number, since it is smaller than the sum of its proper divisors (56633040).

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

20504880 is a wasteful number, since it uses less digits than its factorization.

20504880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20504880 is about 4528.2314428483. The cubic root of 20504880 is about 273.7068988250.

The spelling of 20504880 in words is "twenty million, five hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 863 880 990 1080 1188 1320 1485 1584 1726 1980 2160 2376 2589 2640 2970 3452 3960 4315 4752 5178 5940 6904 7767 7920 8630 9493 10356 11880 12945 13808 15534 17260 18986 20712 23301 23760 25890 28479 31068 34520 37972 38835 41424 46602 47465 51780 56958 62136 69040 75944 77670 85437 93204 94930 103560 113916 116505 124272 142395 151888 155340 170874 186408 189860 207120 227832 233010 256311 284790 310680 341748 372816 379720 427185 455664 466020 512622 569580 621360 683496 759440 854370 932040 1025244 1139160 1281555 1366992 1708740 1864080 2050488 2278320 2563110 3417480 4100976 5126220 6834960 10252440 20504880