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21293712 = 2433114481
BaseRepresentation
bin101000100111…
…0101010010000
31111001211111000
41101032222100
520422344322
62040222000
7345664536
oct121165220
944054430
1021293712
1111024310
12716a900
13454723b
142b84156
151d093ac
hex144ea90

21293712 has 80 divisors (see below), whose sum is σ = 66692160. Its totient is φ = 6451200.

The previous prime is 21293711. The next prime is 21293717. The reversal of 21293712 is 21739212.

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

It is not an unprimeable number, because it can be changed into a prime (21293711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2512 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (833652).

Almost surely, 221293712 is an apocalyptic number.

21293712 is a gapful number since it is divisible by the number (22) 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 21293712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346080).

21293712 is an abundant number, since it is smaller than the sum of its proper divisors (45398448).

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

21293712 is a wasteful number, since it uses less digits than its factorization.

21293712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4497 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 21293712 is about 4614.5110250166. The cubic root of 21293712 is about 277.1727039707.

The spelling of 21293712 in words is "twenty-one million, two hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4481 4752 8962 13443 17924 26886 35848 40329 49291 53772 71696 80658 98582 107544 120987 147873 161316 197164 215088 241974 295746 322632 394328 443619 483948 591492 645264 788656 887238 967896 1182984 1330857 1774476 1935792 2365968 2661714 3548952 5323428 7097904 10646856 21293712