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1829306680 = 23545732667
BaseRepresentation
bin110110100001001…
…0000000100111000
311201111011102000021
41231002100010320
512221300303210
6501304220224
763221564425
oct15502200470
94644142007
101829306680
11859661203
1243076a674
13231cb15b6
14134d44d4c
15aa8e6bda
hex6d090138

1829306680 has 16 divisors (see below), whose sum is σ = 4115940120. Its totient is φ = 731722656.

The previous prime is 1829306651. The next prime is 1829306701. The reversal of 1829306680 is 866039281.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 22866294 + ... + 22866373.

Almost surely, 21829306680 is an apocalyptic number.

1829306680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829306680 is an abundant number, since it is smaller than the sum of its proper divisors (2286633440).

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

1829306680 is a wasteful number, since it uses less digits than its factorization.

1829306680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45732678 (or 45732674 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1829306680 is about 42770.3949011463. The cubic root of 1829306680 is about 1223.0067108491.

The spelling of 1829306680 in words is "one billion, eight hundred twenty-nine million, three hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 45732667 91465334 182930668 228663335 365861336 457326670 914653340 1829306680