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20937420 = 22335729191
BaseRepresentation
bin100111111011…
…1101011001100
31110101201202000
41033313223030
520324444140
62024432300
7342652020
oct117675314
943351660
1020937420
1110900659
127018690
13445100a
142ad0380
151c88a30
hex13f7acc

20937420 has 192 divisors, whose sum is σ = 77414400. Its totient is φ = 4596480.

The previous prime is 20937409. The next prime is 20937437. The reversal of 20937420 is 2473902.

20937420 is a `hidden beast` number, since 209 + 37 + 420 = 666.

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 63 ways as a sum of consecutive naturals, for example, 109525 + ... + 109715.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 220937420 is an apocalyptic number.

20937420 is a gapful number since it is divisible by the number (20) 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 20937420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

20937420 is an abundant number, since it is smaller than the sum of its proper divisors (56476980).

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

20937420 is a wasteful number, since it uses less digits than its factorization.

20937420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20937420 is about 4575.7425626886. The cubic root of 20937420 is about 275.6180918256.

The spelling of 20937420 in words is "twenty million, nine hundred thirty-seven thousand, four hundred twenty".