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21694720 = 28517997
BaseRepresentation
bin101001011000…
…0100100000000
31111211012120011
41102300210000
521023212340
62052554304
7352254625
oct122604400
944735504
1021694720
1111278623
127322994
134657918
142c4a34c
151d880ea
hex14b0900

21694720 has 72 divisors (see below), whose sum is σ = 55077624. Its totient is φ = 8159232.

The previous prime is 21694709. The next prime is 21694721. The reversal of 21694720 is 2749612.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 13307904 = 2896^2 + 3648^2 .

It is not an unprimeable number, because it can be changed into a prime (21694721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21262 + ... + 22258.

It is an arithmetic number, because the mean of its divisors is an integer number (764967).

Almost surely, 221694720 is an apocalyptic number.

21694720 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 21694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538812).

21694720 is an abundant number, since it is smaller than the sum of its proper divisors (33382904).

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

21694720 is an equidigital number, since it uses as much as digits as its factorization.

21694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 21694720 is about 4657.7591178591. The cubic root of 21694720 is about 278.9018209470.

It can be divided in two parts, 2169 and 4720, that added together give a square (6889 = 832).

The spelling of 21694720 in words is "twenty-one million, six hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 997 1088 1280 1360 1994 2176 2720 3988 4352 4985 5440 7976 9970 10880 15952 16949 19940 21760 31904 33898 39880 63808 67796 79760 84745 127616 135592 159520 169490 255232 271184 319040 338980 542368 638080 677960 1084736 1276160 1355920 2169472 2711840 4338944 5423680 10847360 21694720