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6981642 = 232397977
BaseRepresentation
bin11010101000100000001010
3111010201000100
4122220200022
53241403032
6405350230
7113225433
oct32504012
914121010
106981642
113a39458
122408376
1315a5a65
14cda48a
1592d97c
hex6a880a

6981642 has 24 divisors (see below), whose sum is σ = 15180516. Its totient is φ = 2318976.

The previous prime is 6981631. The next prime is 6981659. The reversal of 6981642 is 2461896.

6981642 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6155361 + 826281 = 2481^2 + 909^2 .

It is a d-powerful number, because it can be written as 66 + 97 + 87 + 1 + 66 + 42 + 213 .

It is a junction number, because it is equal to n+sod(n) for n = 6981597 and 6981606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6658 + ... + 7634.

Almost surely, 26981642 is an apocalyptic number.

6981642 is an abundant number, since it is smaller than the sum of its proper divisors (8198874).

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

6981642 is a wasteful number, since it uses less digits than its factorization.

6981642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1379 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6981642 is about 2642.2796975339. The cubic root of 6981642 is about 191.1257452538.

The spelling of 6981642 in words is "six million, nine hundred eighty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 397 794 977 1191 1954 2382 2931 3573 5862 7146 8793 17586 387869 775738 1163607 2327214 3490821 6981642