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1995984 = 243283167
BaseRepresentation
bin111100111010011010000
310202101222100
413213103100
51002332414
6110440400
722652124
oct7472320
93671870
101995984
111143681
12803100
1354b673
1439d584
15296609
hex1e74d0

1995984 has 60 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 653376.

The previous prime is 1995979. The next prime is 1995989. The reversal of 1995984 is 4895991.

1995984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1995979) and next prime (1995989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995989) 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 11 ways as a sum of consecutive naturals, for example, 11869 + ... + 12035.

21995984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

1995984 is an abundant number, since it is smaller than the sum of its proper divisors (3691152).

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

1995984 is a wasteful number, since it uses less digits than its factorization.

1995984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 1995984 is about 1412.7929784650. The cubic root of 1995984 is about 125.9077177655.

The spelling of 1995984 in words is "one million, nine hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 167 249 332 334 498 501 664 668 747 996 1002 1328 1336 1494 1503 1992 2004 2672 2988 3006 3984 4008 5976 6012 8016 11952 12024 13861 24048 27722 41583 55444 83166 110888 124749 166332 221776 249498 332664 498996 665328 997992 1995984