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20339424 = 253471959
BaseRepresentation
bin100110110010…
…1101011100000
31102021100110000
41031211223200
520201330144
62003540000
7334611420
oct115455340
942240400
1020339424
1110532346
12698a600
1342a1a81
1429b6480
151bbb769
hex1365ae0

20339424 has 240 divisors, whose sum is σ = 73180800. Its totient is φ = 5412096.

The previous prime is 20339401. The next prime is 20339447. The reversal of 20339424 is 42493302.

It is a happy number.

20339424 is a `hidden beast` number, since 203 + 39 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (20339401) and next prime (20339447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344707 + ... + 344765.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 220339424 is an apocalyptic number.

20339424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

20339424 is an abundant number, since it is smaller than the sum of its proper divisors (52841376).

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

20339424 is a wasteful number, since it uses less digits than its factorization.

20339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20339424 is about 4509.9250548097. The cubic root of 20339424 is about 272.9687200002.

The spelling of 20339424 in words is "twenty million, three hundred thirty-nine thousand, four hundred twenty-four".