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1990032 = 243113769
BaseRepresentation
bin111100101110110010000
310202002210220
413211312100
51002140112
6110353040
722625562
oct7456620
93662726
101990032
11113a160
127bb780
13548a45
1439b332
1529498c
hex1e5d90

1990032 has 40 divisors (see below), whose sum is σ = 5609760. Its totient is φ = 602880.

The previous prime is 1990031. The next prime is 1990033. The reversal of 1990032 is 2300991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1990031) and next prime (1990033).

It is a super-2 number, since 2×19900322 = 7920454722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1989984 and 1990011.

It is not an unprimeable number, because it can be changed into a prime (1990031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (140244).

21990032 is an apocalyptic number.

1990032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1990032 is an abundant number, since it is smaller than the sum of its proper divisors (3619728).

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

1990032 is a wasteful number, since it uses less digits than its factorization.

1990032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1990032 is about 1410.6849400203. The cubic root of 1990032 is about 125.7824413979.

The spelling of 1990032 in words is "one million, nine hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3769 7538 11307 15076 22614 30152 41459 45228 60304 82918 90456 124377 165836 180912 248754 331672 497508 663344 995016 1990032