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21125880 = 2333531631
BaseRepresentation
bin101000010010…
…1101011111000
31110202022021000
41100211223320
520402012010
62032445000
7344365326
oct120455370
943668230
1021125880
1110a1a206
1270a9760
1344b8a29
142b3cd16
151cc47c0
hex1425af8

21125880 has 128 divisors (see below), whose sum is σ = 72806400. Its totient is φ = 5443200.

The previous prime is 21125879. The next prime is 21125887. The reversal of 21125880 is 8852112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21125887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33165 + ... + 33795.

It is an arithmetic number, because the mean of its divisors is an integer number (568800).

Almost surely, 221125880 is an apocalyptic number.

21125880 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 21125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403200).

21125880 is an abundant number, since it is smaller than the sum of its proper divisors (51680520).

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

21125880 is a wasteful number, since it uses less digits than its factorization.

21125880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 21125880 is about 4596.2898080952. The cubic root of 21125880 is about 276.4425791489.

Adding to 21125880 its reverse (8852112), we get a palindrome (29977992).

The spelling of 21125880 in words is "twenty-one million, one hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 631 744 837 930 1080 1116 1240 1262 1395 1674 1860 1893 2232 2524 2790 3155 3348 3720 3786 4185 5048 5580 5679 6310 6696 7572 8370 9465 11160 11358 12620 15144 16740 17037 18930 19561 22716 25240 28395 33480 34074 37860 39122 45432 56790 58683 68148 75720 78244 85185 97805 113580 117366 136296 156488 170370 176049 195610 227160 234732 293415 340740 352098 391220 469464 528147 586830 681480 704196 782440 880245 1056294 1173660 1408392 1760490 2112588 2347320 2640735 3520980 4225176 5281470 7041960 10562940 21125880