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6983130 = 2357113023
BaseRepresentation
bin11010101000110111011010
3111010210001110
4122220313122
53241430010
6405401150
7113232660
oct32506732
914123043
106983130
113a3a590
1224091b6
1315a663b
14cdac30
1592e120
hex6a8dda

6983130 has 64 divisors (see below), whose sum is σ = 20901888. Its totient is φ = 1450560.

The previous prime is 6983129. The next prime is 6983143. The reversal of 6983130 is 313896.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 799 + ... + 3821.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 26983130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6983130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

6983130 is an abundant number, since it is smaller than the sum of its proper divisors (13918758).

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

6983130 is a wasteful number, since it uses less digits than its factorization.

6983130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6983130 is about 2642.5612575681. The cubic root of 6983130 is about 191.1393225234.

It can be divided in two parts, 698 and 3130, that added together give a triangular number (3828 = T87).

The spelling of 6983130 in words is "six million, nine hundred eighty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3023 6046 9069 15115 18138 21161 30230 33253 42322 45345 63483 66506 90690 99759 105805 126966 166265 199518 211610 232771 317415 332530 465542 498795 634830 698313 997590 1163855 1396626 2327710 3491565 6983130