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1682793040 = 245112318731
BaseRepresentation
bin110010001001101…
…0110001001010000
311100021110202002011
41210103112021100
511421243334130
6434552032304
756462335105
oct14423261120
94307422064
101682793040
11793990355
123ab692694
1320a833536
1411d6c6aac
159cb0552a
hex644d6250

1682793040 has 40 divisors (see below), whose sum is σ = 3916186848. Its totient is φ = 672481920.

The previous prime is 1682793023. The next prime is 1682793061. The reversal of 1682793040 is 403972861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1682792984 and 1682793002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80475 + ... + 99205.

Almost surely, 21682793040 is an apocalyptic number.

1682793040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682793040 is an abundant number, since it is smaller than the sum of its proper divisors (2233393808).

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

1682793040 is a wasteful number, since it uses less digits than its factorization.

1682793040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19867 (or 19861 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1682793040 is about 41021.8605136335. The cubic root of 1682793040 is about 1189.4428199204.

The spelling of 1682793040 in words is "one billion, six hundred eighty-two million, seven hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1123 2246 4492 5615 8984 11230 17968 18731 22460 37462 44920 74924 89840 93655 149848 187310 299696 374620 749240 1498480 21034913 42069826 84139652 105174565 168279304 210349130 336558608 420698260 841396520 1682793040