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21938742 = 2337127457
BaseRepresentation
bin101001110110…
…0001000110110
31112021121022000
41103230020312
521104014432
62102120130
7354322230
oct123541066
945247260
1021938742
11114249a1
127420046
134711a07
142cb1250
151dd557c
hex14ec236

21938742 has 64 divisors (see below), whose sum is σ = 56279040. Its totient is φ = 6205248.

The previous prime is 21938723. The next prime is 21938747. The reversal of 21938742 is 24783912.

It is a junction number, because it is equal to n+sod(n) for n = 21938697 and 21938706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21938747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47778 + ... + 48234.

It is an arithmetic number, because the mean of its divisors is an integer number (879360).

Almost surely, 221938742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21938742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139520).

21938742 is an abundant number, since it is smaller than the sum of its proper divisors (34340298).

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

21938742 is a wasteful number, since it uses less digits than its factorization.

21938742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 596 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 21938742 is about 4683.8810830336. The cubic root of 21938742 is about 279.9436196005.

The spelling of 21938742 in words is "twenty-one million, nine hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 254 378 381 457 762 889 914 1143 1371 1778 2286 2667 2742 3199 3429 4113 5334 6398 6858 8001 8226 9597 12339 16002 19194 24003 24678 28791 48006 57582 58039 86373 116078 172746 174117 348234 406273 522351 812546 1044702 1218819 1567053 2437638 3134106 3656457 7312914 10969371 21938742