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21942468 = 22331371483
BaseRepresentation
bin101001110110…
…1000011000100
31112021210102000
41103231003010
521104124333
62102145300
7354336132
oct123550304
945253360
1021942468
1111427779
127422230
134713612
142cb2752
151dd6713
hex14ed0c4

21942468 has 48 divisors (see below), whose sum is σ = 57341760. Its totient is φ = 7255872.

The previous prime is 21942457. The next prime is 21942469. The reversal of 21942468 is 86424912.

21942468 is a `hidden beast` number, since 2 + 194 + 2 + 468 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21942469) 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 15 ways as a sum of consecutive naturals, for example, 14055 + ... + 15537.

It is an arithmetic number, because the mean of its divisors is an integer number (1194620).

Almost surely, 221942468 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 21942468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670880).

21942468 is an abundant number, since it is smaller than the sum of its proper divisors (35399292).

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

21942468 is a wasteful number, since it uses less digits than its factorization.

21942468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 21942468 is about 4684.2788132219. The cubic root of 21942468 is about 279.9594669218.

The spelling of 21942468 in words is "twenty-one million, nine hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1483 1644 2466 2966 3699 4449 4932 5932 7398 8898 13347 14796 17796 26694 40041 53388 80082 160164 203171 406342 609513 812684 1219026 1828539 2438052 3657078 5485617 7314156 10971234 21942468