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1638940 = 225192227
BaseRepresentation
bin110010000001000011100
310002021012111
412100020130
5404421230
655043404
716634152
oct6201034
93067174
101638940
11a1a3a6
12670564
13454cb4
143093d2
1522592a
hex19021c

1638940 has 36 divisors (see below), whose sum is σ = 3648456. Its totient is φ = 618336.

The previous prime is 1638929. The next prime is 1638943. The reversal of 1638940 is 498361.

It is a super-2 number, since 2×16389402 = 5372248647200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1638943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7107 + ... + 7333.

It is an arithmetic number, because the mean of its divisors is an integer number (101346).

21638940 is an apocalyptic number.

1638940 is a gapful number since it is divisible by the number (10) 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 1638940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824228).

1638940 is an abundant number, since it is smaller than the sum of its proper divisors (2009516).

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

1638940 is a wasteful number, since it uses less digits than its factorization.

1638940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1638940 is about 1280.2109201221. The cubic root of 1638940 is about 117.9019582071.

The spelling of 1638940 in words is "one million, six hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 361 380 454 722 908 1135 1444 1805 2270 3610 4313 4540 7220 8626 17252 21565 43130 81947 86260 163894 327788 409735 819470 1638940