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21368340 = 2233575653
BaseRepresentation
bin101000110000…
…0111000010100
31111012121212000
41101200320110
520432241330
62041555300
7346425240
oct121407024
944177760
1021368340
1111075394
1271a5b30
1345721b6
142ba3420
151d21560
hex1460e14

21368340 has 96 divisors (see below), whose sum is σ = 75989760. Its totient is φ = 4883328.

The previous prime is 21368309. The next prime is 21368353. The reversal of 21368340 is 4386312.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954 + ... + 6606.

It is an arithmetic number, because the mean of its divisors is an integer number (791560).

Almost surely, 221368340 is an apocalyptic number.

21368340 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 21368340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37994880).

21368340 is an abundant number, since it is smaller than the sum of its proper divisors (54621420).

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

21368340 is a wasteful number, since it uses less digits than its factorization.

21368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 21368340 is about 4622.5901830035. The cubic root of 21368340 is about 277.4961285070.

The spelling of 21368340 in words is "twenty-one million, three hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5653 11306 16959 22612 28265 33918 39571 50877 56530 67836 79142 84795 101754 113060 118713 152631 158284 169590 197855 203508 237426 254385 305262 339180 356139 395710 474852 508770 593565 610524 712278 763155 791420 1017540 1068417 1187130 1424556 1526310 1780695 2136834 2374260 3052620 3561390 4273668 5342085 7122780 10684170 21368340