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2007981 = 32472101
BaseRepresentation
bin111101010001110101101
310210000102200
413222032231
51003223411
6111012113
723032113
oct7521655
93700380
102007981
111151698
1280a039
13553c71
143a3ab3
15299e56
hex1ea3ad

2007981 has 18 divisors (see below), whose sum is σ = 2992782. Its totient is φ = 1297200.

The previous prime is 2007979. The next prime is 2008003. The reversal of 2007981 is 1897002.

It can be written as a sum of positive squares in only one way, i.e., 1988100 + 19881 = 1410^2 + 141^2 .

It is not a de Polignac number, because 2007981 - 21 = 2007979 is a prime.

It is a super-2 number, since 2×20079812 = 8063975392722, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19831 + ... + 19931.

22007981 is an apocalyptic number.

It is an amenable number.

2007981 is a deficient number, since it is larger than the sum of its proper divisors (984801).

2007981 is a wasteful number, since it uses less digits than its factorization.

2007981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2007981 is about 1417.0324625780. The cubic root of 2007981 is about 126.1594730574.

The spelling of 2007981 in words is "two million, seven thousand, nine hundred eighty-one".

Divisors: 1 3 9 47 101 141 303 423 909 2209 4747 6627 14241 19881 42723 223109 669327 2007981