Search a number
-
+
21943656 = 2333723631
BaseRepresentation
bin101001110110…
…1010101101000
31112021212001000
41103231111220
521104144111
62102155000
7354342450
oct123552550
945255030
1021943656
1111428659
127422a60
134714017
142cb2d60
151dd6c56
hex14ed568

21943656 has 128 divisors (see below), whose sum is σ = 72806400. Its totient is φ = 5987520.

The previous prime is 21943637. The next prime is 21943673. The reversal of 21943656 is 65634912.

It is a happy number.

21943656 is a `hidden beast` number, since 219 + 436 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21943656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34461 + ... + 35091.

It is an arithmetic number, because the mean of its divisors is an integer number (568800).

Almost surely, 221943656 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 21943656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403200).

21943656 is an abundant number, since it is smaller than the sum of its proper divisors (50862744).

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

21943656 is a wasteful number, since it uses less digits than its factorization.

21943656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 21943656 is about 4684.4056186458. The cubic root of 21943656 is about 279.9645193137.

The spelling of 21943656 in words is "twenty-one million, nine hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 631 644 756 828 966 1242 1262 1288 1449 1512 1656 1893 1932 2484 2524 2898 3786 3864 4347 4417 4968 5048 5679 5796 7572 8694 8834 11358 11592 13251 14513 15144 17037 17388 17668 22716 26502 29026 34074 34776 35336 39753 43539 45432 53004 58052 68148 79506 87078 101591 106008 116104 119259 130617 136296 159012 174156 203182 238518 261234 304773 318024 348312 391851 406364 477036 522468 609546 783702 812728 914319 954072 1044936 1219092 1567404 1828638 2438184 2742957 3134808 3657276 5485914 7314552 10971828 21943656