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21314124 = 223313171947
BaseRepresentation
bin101000101001…
…1101001001100
31111002212111000
41101103221030
520424022444
62040500300
7346111206
oct121235114
944085430
1021314124
1111038687
12717a690
134553610
142b8b776
151d10469
hex1453a4c

21314124 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 5723136.

The previous prime is 21314087. The next prime is 21314149. The reversal of 21314124 is 42141312.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 21314097 and 21314106.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 453469 + ... + 453515.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 221314124 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 21314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

21314124 is an abundant number, since it is smaller than the sum of its proper divisors (46423476).

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

21314124 is a wasteful number, since it uses less digits than its factorization.

21314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21314124 is about 4616.7222138656. The cubic root of 21314124 is about 277.2612409435.

Adding to 21314124 its reverse (42141312), we get a palindrome (63455436).

The spelling of 21314124 in words is "twenty-one million, three hundred fourteen thousand, one hundred twenty-four".