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21442368 = 263293851
BaseRepresentation
bin101000111001…
…0111101000000
31111100101101210
41101302331000
520442123433
62043330120
7350154123
oct121627500
944311353
1021442368
1111115a72
127220940
134599abc
142bc23ba
151d38463
hex1472f40

21442368 has 56 divisors (see below), whose sum is σ = 58704480. Its totient is φ = 6899200.

The previous prime is 21442361. The next prime is 21442373. The reversal of 21442368 is 86324412.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442361) 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 7 ways as a sum of consecutive naturals, for example, 3643 + ... + 7493.

Almost surely, 221442368 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 21442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352240).

21442368 is an abundant number, since it is smaller than the sum of its proper divisors (37262112).

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

21442368 is a wasteful number, since it uses less digits than its factorization.

21442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3885 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 21442368 is about 4630.5904591099. The cubic root of 21442368 is about 277.8162096277.

The spelling of 21442368 in words is "twenty-one million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 3851 5568 7702 11553 15404 23106 30808 46212 61616 92424 111679 123232 184848 223358 246464 335037 369696 446716 670074 739392 893432 1340148 1786864 2680296 3573728 5360592 7147456 10721184 21442368