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6976385 = 513293701
BaseRepresentation
bin11010100111001110000001
3111010102210122
4122213032001
53241221020
6405310025
7113204213
oct32471601
914112718
106976385
113a35509
122405315
1315a3550
14cd85b3
1592c125
hex6a7381

6976385 has 16 divisors (see below), whose sum is σ = 9329040. Its totient is φ = 4972800.

The previous prime is 6976381. The next prime is 6976393. The reversal of 6976385 is 5836796.

It can be written as a sum of positive squares in 8 ways, for example, as 620944 + 6355441 = 788^2 + 2521^2 .

It is not a de Polignac number, because 6976385 - 22 = 6976381 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6976381) 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 15 ways as a sum of consecutive naturals, for example, 35 + ... + 3735.

It is an arithmetic number, because the mean of its divisors is an integer number (583065).

Almost surely, 26976385 is an apocalyptic number.

6976385 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6976385 is a deficient number, since it is larger than the sum of its proper divisors (2352655).

6976385 is a wasteful number, since it uses less digits than its factorization.

6976385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748.

The product of its digits is 272160, while the sum is 44.

The square root of 6976385 is about 2641.2847252805. The cubic root of 6976385 is about 191.0777622563.

The spelling of 6976385 in words is "six million, nine hundred seventy-six thousand, three hundred eighty-five".

Divisors: 1 5 13 29 65 145 377 1885 3701 18505 48113 107329 240565 536645 1395277 6976385