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21940096 = 27181947
BaseRepresentation
bin101001110110…
…0011110000000
31112021200011011
41103230132000
521104040341
62102130304
7354326203
oct123543600
945250134
1021940096
1111425a12
127420994
134712509
142cb193a
151dd5b81
hex14ec780

21940096 has 32 divisors (see below), whose sum is σ = 43996680. Its totient is φ = 10897920.

The previous prime is 21940073. The next prime is 21940099. The reversal of 21940096 is 69004912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21940099) 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 3 ways as a sum of consecutive naturals, for example, 22695 + ... + 23641.

Almost surely, 221940096 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 21940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998340).

21940096 is an abundant number, since it is smaller than the sum of its proper divisors (22056584).

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

21940096 is an equidigital number, since it uses as much as digits as its factorization.

21940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 21940096 is about 4684.0256190589. The cubic root of 21940096 is about 279.9493786038.

The spelling of 21940096 in words is "twenty-one million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 947 1448 1894 2896 3788 5792 7576 11584 15152 23168 30304 60608 121216 171407 342814 685628 1371256 2742512 5485024 10970048 21940096