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21921696 = 2532103739
BaseRepresentation
bin101001110011…
…1111110100000
31112020201220200
41103213332200
521102443241
62101505200
7354221436
oct123477640
945221820
1021921696
1111413105
127412200
134707024
142ca8d56
151dd04b6
hex14e7fa0

21921696 has 72 divisors (see below), whose sum is σ = 63030240. Its totient is φ = 7226496.

The previous prime is 21921689. The next prime is 21921703. The reversal of 21921696 is 69612912.

It is an interprime number because it is at equal distance from previous prime (21921689) and next prime (21921703).

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 21921696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29295 + ... + 30033.

It is an arithmetic number, because the mean of its divisors is an integer number (875420).

Almost surely, 221921696 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 21921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31515120).

21921696 is an abundant number, since it is smaller than the sum of its proper divisors (41108544).

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

21921696 is a wasteful number, since it uses less digits than its factorization.

21921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 847 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 21921696 is about 4682.0610846079. The cubic root of 21921696 is about 279.8710971290.

The spelling of 21921696 in words is "twenty-one million, nine hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 739 824 927 1236 1478 1648 1854 2217 2472 2956 3296 3708 4434 4944 5912 6651 7416 8868 9888 11824 13302 14832 17736 23648 26604 29664 35472 53208 70944 76117 106416 152234 212832 228351 304468 456702 608936 685053 913404 1217872 1370106 1826808 2435744 2740212 3653616 5480424 7307232 10960848 21921696