Search a number
-
+
1640816082 = 233531673433
BaseRepresentation
bin110000111001100…
…1101110111010010
311020100111002112000
41201303031313102
511330022103312
6430452214430
755442464233
oct14163156722
94210432460
101640816082
1177221a454
1239960a416
13201c26bb9
14117cbb08a
15990b2adc
hex61ccddd2

1640816082 has 64 divisors (see below), whose sum is σ = 3738389760. Its totient is φ = 533250432.

The previous prime is 1640816077. The next prime is 1640816087. The reversal of 1640816082 is 2806180461.

1640816082 is a `hidden beast` number, since 1 + 6 + 40 + 8 + 1 + 608 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1640816077) and next prime (1640816087).

It is not an unprimeable number, because it can be changed into a prime (1640816087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476238 + ... + 479670.

It is an arithmetic number, because the mean of its divisors is an integer number (58412340).

Almost surely, 21640816082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640816082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869194880).

1640816082 is an abundant number, since it is smaller than the sum of its proper divisors (2097573678).

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

1640816082 is a wasteful number, since it uses less digits than its factorization.

1640816082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1640816082 is about 40506.9880637897. The cubic root of 1640816082 is about 1179.4692820712.

The spelling of 1640816082 in words is "one billion, six hundred forty million, eight hundred sixteen thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 167 318 334 477 501 954 1002 1431 1503 2862 3006 3433 4509 6866 8851 9018 10299 17702 20598 26553 30897 53106 61794 79659 92691 159318 181949 185382 238977 363898 477954 545847 573311 1091694 1146622 1637541 1719933 3275082 3439866 4912623 5159799 9825246 10319598 15479397 30385483 30958794 60770966 91156449 182312898 273469347 546938694 820408041 1640816082