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21999240 = 23325531153
BaseRepresentation
bin101001111101…
…0111010001000
31112101200021200
41103322322020
521112433430
62103304200
7354663504
oct123727210
945350250
1021999240
111146639a
12744b060
134733403
142cc9304
151de8460
hex14fae88

21999240 has 96 divisors (see below), whose sum is σ = 72909720. Its totient is φ = 5750784.

The previous prime is 21999221. The next prime is 21999269. The reversal of 21999240 is 4299912.

21999240 = T339 + T340 + ... + T554.

It can be written as a sum of positive squares in 4 ways, for example, as 21178404 + 820836 = 4602^2 + 906^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21999195 and 21999204.

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, 18504 + ... + 19656.

Almost surely, 221999240 is an apocalyptic number.

21999240 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 21999240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36454860).

21999240 is an abundant number, since it is smaller than the sum of its proper divisors (50910480).

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

21999240 is a wasteful number, since it uses less digits than its factorization.

21999240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 21999240 is about 4690.3347428515. The cubic root of 21999240 is about 280.2007064376.

The spelling of 21999240 in words is "twenty-one million, nine hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1153 1272 1590 1908 2120 2306 2385 3180 3459 3816 4612 4770 5765 6360 6918 9224 9540 10377 11530 13836 17295 19080 20754 23060 27672 34590 41508 46120 51885 61109 69180 83016 103770 122218 138360 183327 207540 244436 305545 366654 415080 488872 549981 611090 733308 916635 1099962 1222180 1466616 1833270 2199924 2444360 2749905 3666540 4399848 5499810 7333080 10999620 21999240