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20183742 = 234235417
BaseRepresentation
bin100110011111…
…1101010111110
31101222102220000
41030333222332
520131334432
62000335130
7333362505
oct114775276
941872800
1020183742
1110436387
1269144a6
134248c57
14297583c
151b8a57c
hex133fabe

20183742 has 40 divisors (see below), whose sum is σ = 47201616. Its totient is φ = 6434208.

The previous prime is 20183711. The next prime is 20183749. The reversal of 20183742 is 24738102.

It is a super-2 number, since 2×201837422 = 814766882245128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20183749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1018 + ... + 6434.

Almost surely, 220183742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20183742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23600808).

20183742 is an abundant number, since it is smaller than the sum of its proper divisors (27017874).

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

20183742 is a wasteful number, since it uses less digits than its factorization.

20183742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20183742 is about 4492.6319680116. The cubic root of 20183742 is about 272.2704831708.

The spelling of 20183742 in words is "twenty million, one hundred eighty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 5417 10834 16251 32502 48753 97506 124591 146259 249182 292518 373773 438777 747546 877554 1121319 2242638 3363957 6727914 10091871 20183742