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21074688 = 28333049
BaseRepresentation
bin101000001100…
…1001100000000
31110122201001000
41100121030000
520343342223
62031412000
7344063145
oct120311400
943581030
1021074688
11109947a8
127084000
13449b63b
142b283cc
151cb4543
hex1419300

21074688 has 72 divisors (see below), whose sum is σ = 62342000. Its totient is φ = 7022592.

The previous prime is 21074681. The next prime is 21074689. The reversal of 21074688 is 88647012.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (21074681) 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, 5388 + ... + 8436.

Almost surely, 221074688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31171000).

21074688 is an abundant number, since it is smaller than the sum of its proper divisors (41267312).

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

21074688 is an equidigital number, since it uses as much as digits as its factorization.

21074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 21074688 is about 4590.7175909655. The cubic root of 21074688 is about 276.2191076748.

The spelling of 21074688 in words is "twenty-one million, seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3049 3456 6098 6912 9147 12196 18294 24392 27441 36588 48784 54882 73176 82323 97568 109764 146352 164646 195136 219528 292704 329292 390272 439056 585408 658584 780544 878112 1170816 1317168 1756224 2341632 2634336 3512448 5268672 7024896 10537344 21074688