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21274260 = 22357373
BaseRepresentation
bin101000100100…
…1111010010100
31111000211210120
41101021322110
520421234020
62035551540
7345554040
oct121117224
944024716
1021274260
1111010737
12715b5b0
13453b427
142b7b020
151d03740
hex1449e94

21274260 has 96 divisors (see below), whose sum is σ = 69968640. Its totient is φ = 4731264.

The previous prime is 21274249. The next prime is 21274261. The reversal of 21274260 is 6247212.

It is a self number, because there is not a number n which added to its sum of digits gives 21274260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21274261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574962 + ... + 574998.

It is an arithmetic number, because the mean of its divisors is an integer number (728840).

Almost surely, 221274260 is an apocalyptic number.

21274260 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 21274260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34984320).

21274260 is an abundant number, since it is smaller than the sum of its proper divisors (48694380).

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

21274260 is an equidigital number, since it uses as much as digits as its factorization.

21274260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21274260 is about 4612.4028445052. The cubic root of 21274260 is about 277.0882783271.

The spelling of 21274260 in words is "twenty-one million, two hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1369 1554 2220 2590 2738 3108 3885 4107 5180 5476 6845 7770 8214 9583 13690 15540 16428 19166 20535 27380 28749 38332 41070 47915 50653 57498 82140 95830 101306 114996 143745 151959 191660 202612 253265 287490 303918 354571 506530 574980 607836 709142 759795 1013060 1063713 1418284 1519590 1772855 2127426 3039180 3545710 4254852 5318565 7091420 10637130 21274260