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21363696 = 2433172909
BaseRepresentation
bin101000101111…
…1101111110000
31111012101111000
41101133233300
520432114241
62041522000
7346405554
oct121375760
944171430
1021363696
1111071952
1271a3300
134570053
142ba1864
151d1eeb6
hex145fbf0

21363696 has 80 divisors (see below), whose sum is σ = 64951200. Its totient is φ = 6700032.

The previous prime is 21363659. The next prime is 21363703. The reversal of 21363696 is 69636312.

21363696 is a `hidden beast` number, since 2 + 13 + 636 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21363696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5890 + ... + 8798.

It is an arithmetic number, because the mean of its divisors is an integer number (811890).

Almost surely, 221363696 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 21363696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32475600).

21363696 is an abundant number, since it is smaller than the sum of its proper divisors (43587504).

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

21363696 is a wasteful number, since it uses less digits than its factorization.

21363696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2931 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 21363696 is about 4622.0878399269. The cubic root of 21363696 is about 277.4760242251.

It can be divided in two parts, 2136 and 3696, that added together give a cube (5832 = 183).

The spelling of 21363696 in words is "twenty-one million, three hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 2909 3672 5818 7344 8727 11636 17454 23272 26181 34908 46544 49453 52362 69816 78543 98906 104724 139632 148359 157086 197812 209448 296718 314172 395624 418896 445077 593436 628344 791248 890154 1186872 1256688 1335231 1780308 2373744 2670462 3560616 5340924 7121232 10681848 21363696