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6980013 = 341737137
BaseRepresentation
bin11010101000000110101101
3111010121210000
4122220012231
53241330023
6405334513
7113220615
oct32500655
914117700
106980013
113a38207
122407439
1315a50b1
14cd9a45
1592d243
hex6a81ad

6980013 has 40 divisors (see below), whose sum is σ = 11421432. Its totient is φ = 4230144.

The previous prime is 6979967. The next prime is 6980021. The reversal of 6980013 is 3100896.

It can be written as a sum of positive squares in 4 ways, for example, as 3674889 + 3305124 = 1917^2 + 1818^2 .

It is not a de Polignac number, because 6980013 - 221 = 4882861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

6980013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6970013) 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 39 ways as a sum of consecutive naturals, for example, 50881 + ... + 51017.

Almost surely, 26980013 is an apocalyptic number.

It is an amenable number.

6980013 is a deficient number, since it is larger than the sum of its proper divisors (4441419).

6980013 is a wasteful number, since it uses less digits than its factorization.

6980013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6980013 is about 2641.9714230097. The cubic root of 6980013 is about 191.1108792162.

The spelling of 6980013 in words is "six million, nine hundred eighty thousand, thirteen".

Divisors: 1 3 9 17 27 37 51 81 111 137 153 333 411 459 629 999 1233 1377 1887 2329 2997 3699 5069 5661 6987 11097 15207 16983 20961 45621 50949 62883 86173 136863 188649 258519 410589 775557 2326671 6980013