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1983872 = 27111409
BaseRepresentation
bin111100100010110000000
310201210100202
413210112000
51001440442
6110304332
722601612
oct7442600
93653322
101983872
111135570
127b80a8
13545cb7
14398db2
15292c32
hex1e4580

1983872 has 32 divisors (see below), whose sum is σ = 4314600. Its totient is φ = 901120.

The previous prime is 1983871. The next prime is 1983881. The reversal of 1983872 is 2783891.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×19838722 = 7871496224768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983871) 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, 704 + ... + 2112.

21983872 is an apocalyptic number.

It is a pronic number, being equal to 1408×1409.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157300).

1983872 is an abundant number, since it is smaller than the sum of its proper divisors (2330728).

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

1983872 is a wasteful number, since it uses less digits than its factorization.

1983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 1983872 is about 1408.4999112531. The cubic root of 1983872 is about 125.6525237746.

The spelling of 1983872 in words is "one million, nine hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1409 2818 5636 11272 15499 22544 30998 45088 61996 90176 123992 180352 247984 495968 991936 1983872