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21320046 = 23211294779
BaseRepresentation
bin101000101010…
…1000101101110
31111010011121100
41101111011232
520424220141
62040543530
7346134366
oct121250556
944104540
1021320046
1111042080
127181ba6
134556217
142b8d9a6
151d120b6
hex145516e

21320046 has 96 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 6027840.

The previous prime is 21320021. The next prime is 21320051. The reversal of 21320046 is 64002312.

It is a happy number.

It is a super-2 number, since 2×213200462 = 909088722884232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269835 + ... + 269913.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 221320046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

21320046 is an abundant number, since it is smaller than the sum of its proper divisors (32593554).

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

21320046 is a wasteful number, since it uses less digits than its factorization.

21320046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21320046 is about 4617.3635334463. The cubic root of 21320046 is about 277.2869170167.

Adding to 21320046 its reverse (64002312), we get a palindrome (85322358).

The spelling of 21320046 in words is "twenty-one million, three hundred twenty thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 47 58 66 79 87 94 99 141 158 174 198 237 261 282 319 423 474 517 522 638 711 846 869 957 1034 1363 1422 1551 1738 1914 2291 2607 2726 2871 3102 3713 4089 4582 4653 5214 5742 6873 7426 7821 8178 9306 11139 12267 13746 14993 15642 20619 22278 24534 25201 29986 33417 40843 41238 44979 50402 66834 75603 81686 89958 107677 122529 134937 151206 215354 226809 245058 269874 323031 367587 453618 646062 735174 969093 1184447 1938186 2368894 3553341 7106682 10660023 21320046