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21275940 = 22357179283
BaseRepresentation
bin101000100101…
…0010100100100
31111000221002210
41101022110210
520421312230
62040003420
7345561660
oct121122444
944027083
1021275940
1111011a24
127160570
13453c11a
142b7b8a0
151d03eb0
hex144a524

21275940 has 96 divisors (see below), whose sum is σ = 68705280. Its totient is φ = 4818816.

The previous prime is 21275909. The next prime is 21275941. The reversal of 21275940 is 4957212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21275898 and 21275907.

It is not an unprimeable number, because it can be changed into a prime (21275941) 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, 75039 + ... + 75321.

It is an arithmetic number, because the mean of its divisors is an integer number (715680).

Almost surely, 221275940 is an apocalyptic number.

21275940 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 21275940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352640).

21275940 is an abundant number, since it is smaller than the sum of its proper divisors (47429340).

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

21275940 is a wasteful number, since it uses less digits than its factorization.

21275940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 21275940 is about 4612.5849585672. The cubic root of 21275940 is about 277.0955718993.

The spelling of 21275940 in words is "twenty-one million, two hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 283 358 420 537 566 716 849 895 1074 1132 1253 1415 1698 1790 1981 2148 2506 2685 2830 3396 3580 3759 3962 4245 5012 5370 5660 5943 6265 7518 7924 8490 9905 10740 11886 12530 15036 16980 18795 19810 23772 25060 29715 37590 39620 50657 59430 75180 101314 118860 151971 202628 253285 303942 354599 506570 607884 709198 759855 1013140 1063797 1418396 1519710 1772995 2127594 3039420 3545990 4255188 5318985 7091980 10637970 21275940