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21850080 = 253572929
BaseRepresentation
bin101001101011…
…0011111100000
31112010002200020
41103112133200
521043200310
62100153440
7353502600
oct123263740
945102606
1021850080
111137431a
127398880
1346b0555
142c8ac00
151db9170
hex14d67e0

21850080 has 144 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 4988928.

The previous prime is 21850061. The next prime is 21850093. The reversal of 21850080 is 8005812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21850080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23056 + ... + 23984.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 221850080 is an apocalyptic number.

21850080 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 21850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

21850080 is an abundant number, since it is smaller than the sum of its proper divisors (58301040).

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

21850080 is a wasteful number, since it uses less digits than its factorization.

21850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 21850080 is about 4674.4069142513. The cubic root of 21850080 is about 279.5659942966.

Adding to 21850080 its reverse (8005812), we get a palindrome (29855892).

The spelling of 21850080 in words is "twenty-one million, eight hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 929 980 1120 1176 1470 1568 1680 1858 1960 2352 2787 2940 3360 3716 3920 4645 4704 5574 5880 6503 7432 7840 9290 11148 11760 13006 13935 14864 18580 19509 22296 23520 26012 27870 29728 32515 37160 39018 44592 45521 52024 55740 65030 74320 78036 89184 91042 97545 104048 111480 130060 136563 148640 156072 182084 195090 208096 222960 227605 260120 273126 312144 364168 390180 445920 455210 520240 546252 624288 682815 728336 780360 910420 1040480 1092504 1365630 1456672 1560720 1820840 2185008 2731260 3121440 3641680 4370016 5462520 7283360 10925040 21850080