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1983936 = 26310333
BaseRepresentation
bin111100100010111000000
310201210110010
413210113000
51001441221
6110304520
722602033
oct7442700
93653403
101983936
111135619
127b8140
13546036
1439901a
15292c76
hex1e45c0

1983936 has 28 divisors (see below), whose sum is σ = 5249672. Its totient is φ = 661248.

The previous prime is 1983931. The next prime is 1983967. The reversal of 1983936 is 6393891.

It is a junction number, because it is equal to n+sod(n) for n = 1983894 and 1983903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4975 + ... + 5358.

21983936 is an apocalyptic number.

1983936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1983936 is an abundant number, since it is smaller than the sum of its proper divisors (3265736).

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

1983936 is a wasteful number, since it uses less digits than its factorization.

1983936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10338 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 1983936 is about 1408.5226302761. The cubic root of 1983936 is about 125.6538749497.

The spelling of 1983936 in words is "one million, nine hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 10333 20666 30999 41332 61998 82664 123996 165328 247992 330656 495984 661312 991968 1983936