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21446964 = 22337112579
BaseRepresentation
bin101000111010…
…0000100110100
31111100121201000
41101310010310
520442300324
62043403300
7350203410
oct121640464
944317630
1021446964
1111119470
127223530
13459bc16
142bc3d40
151d399c9
hex1474134

21446964 has 96 divisors (see below), whose sum is σ = 69350400. Its totient is φ = 5568480.

The previous prime is 21446963. The next prime is 21446987. The reversal of 21446964 is 46964412.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (21446963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7027 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (722400).

Almost surely, 221446964 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 21446964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34675200).

21446964 is an abundant number, since it is smaller than the sum of its proper divisors (47903436).

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

21446964 is a wasteful number, since it uses less digits than its factorization.

21446964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2602 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 21446964 is about 4631.0866975258. The cubic root of 21446964 is about 277.8360574369.

It can be divided in two parts, 21 and 446964, that added together give a triangular number (446985 = T945).

The spelling of 21446964 in words is "twenty-one million, four hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2579 2772 4158 5158 7737 8316 10316 15474 18053 23211 28369 30948 36106 46422 54159 56738 69633 72212 85107 92844 108318 113476 139266 162477 170214 198583 216636 255321 278532 324954 340428 397166 487431 510642 595749 649908 765963 794332 974862 1021284 1191498 1531926 1787247 1949724 2382996 3063852 3574494 5361741 7148988 10723482 21446964