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21719313 = 3371131337
BaseRepresentation
bin101001011011…
…0100100010001
31111212110022000
41102312210101
521030004223
62053304213
7352416420
oct122664421
944773260
1021719313
1111295050
127335069
134665b85
142c552b7
151d90543
hex14b6911

21719313 has 64 divisors (see below), whose sum is σ = 41533440. Its totient is φ = 10886400.

The previous prime is 21719309. The next prime is 21719339. The reversal of 21719313 is 31391712.

It is not a de Polignac number, because 21719313 - 22 = 21719309 is a prime.

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 (21719303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64281 + ... + 64617.

It is an arithmetic number, because the mean of its divisors is an integer number (648960).

Almost surely, 221719313 is an apocalyptic number.

It is an amenable number.

21719313 is a deficient number, since it is larger than the sum of its proper divisors (19814127).

21719313 is a wasteful number, since it uses less digits than its factorization.

21719313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 21719313 is about 4660.3983735299. The cubic root of 21719313 is about 279.0071682746.

The spelling of 21719313 in words is "twenty-one million, seven hundred nineteen thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 27 31 33 63 77 93 99 189 217 231 279 297 337 341 651 693 837 1011 1023 1953 2079 2359 2387 3033 3069 3707 5859 7077 7161 9099 9207 10447 11121 21231 21483 25949 31341 33363 63693 64449 73129 77847 94023 100089 114917 219387 233541 282069 344751 658161 700623 804419 1034253 1974483 2413257 3102759 7239771 21719313