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21134080 = 285111979
BaseRepresentation
bin101000010011…
…1101100000000
31110202201111201
41100213230000
520402242310
62032550544
7344431252
oct120475400
943681451
1021134080
1110a25390
1270b2454
1344bc696
142b41cd2
151cc6e3a
hex1427b00

21134080 has 144 divisors (see below), whose sum is σ = 58867200. Its totient is φ = 7188480.

The previous prime is 21134063. The next prime is 21134081. The reversal of 21134080 is 8043112.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21134081) 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, 267481 + ... + 267559.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 221134080 is an apocalyptic number.

21134080 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 21134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29433600).

21134080 is an abundant number, since it is smaller than the sum of its proper divisors (37733120).

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

21134080 is a wasteful number, since it uses less digits than its factorization.

21134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 21134080 is about 4597.1817453740. The cubic root of 21134080 is about 276.4783415395.

Adding to 21134080 its reverse (8043112), we get a palindrome (29177192).

The spelling of 21134080 in words is "twenty-one million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 79 80 88 95 110 128 152 158 160 176 190 209 220 256 304 316 320 352 380 395 418 440 608 632 640 704 760 790 836 869 880 1045 1216 1264 1280 1408 1501 1520 1580 1672 1738 1760 2090 2432 2528 2816 3002 3040 3160 3344 3476 3520 4180 4345 4864 5056 6004 6080 6320 6688 6952 7040 7505 8360 8690 10112 12008 12160 12640 13376 13904 14080 15010 16511 16720 17380 20224 24016 24320 25280 26752 27808 30020 33022 33440 34760 48032 50560 53504 55616 60040 66044 66880 69520 82555 96064 101120 111232 120080 132088 133760 139040 165110 192128 222464 240160 264176 267520 278080 330220 384256 480320 528352 556160 660440 960640 1056704 1112320 1320880 1921280 2113408 2641760 4226816 5283520 10567040 21134080