Search a number
-
+
21765912 = 23372343131
BaseRepresentation
bin101001100000…
…1111100011000
31111221211012220
41103001330120
521033002122
62054304040
7353002320
oct123017430
944854186
1021765912
1111317063
127358020
13468114c
142c68280
151d9e25c
hex14c1f18

21765912 has 128 divisors (see below), whose sum is σ = 66908160. Its totient is φ = 5765760.

The previous prime is 21765901. The next prime is 21765917. The reversal of 21765912 is 21956712.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21765917) 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 31 ways as a sum of consecutive naturals, for example, 166087 + ... + 166217.

It is an arithmetic number, because the mean of its divisors is an integer number (522720).

Almost surely, 221765912 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 21765912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454080).

21765912 is an abundant number, since it is smaller than the sum of its proper divisors (45142248).

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

21765912 is a wasteful number, since it uses less digits than its factorization.

21765912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 21765912 is about 4665.3951601124. The cubic root of 21765912 is about 279.2065632839.

The spelling of 21765912 in words is "twenty-one million, seven hundred sixty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 43 46 56 69 84 86 92 129 131 138 161 168 172 184 258 262 276 301 322 344 393 483 516 524 552 602 644 786 903 917 966 989 1032 1048 1204 1288 1572 1806 1834 1932 1978 2408 2751 2967 3013 3144 3612 3668 3864 3956 5502 5633 5934 6026 6923 7224 7336 7912 9039 11004 11266 11868 12052 13846 16899 18078 20769 21091 22008 22532 23736 24104 27692 33798 36156 39431 41538 42182 45064 55384 63273 67596 72312 78862 83076 84364 118293 126546 129559 135192 157724 166152 168728 236586 253092 259118 315448 388677 473172 506184 518236 777354 906913 946344 1036472 1554708 1813826 2720739 3109416 3627652 5441478 7255304 10882956 21765912