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832060801 = 1113173161181
BaseRepresentation
bin110001100110000…
…011110110000001
32010222200001211201
4301212003312001
53201001421201
6214321541201
726422254145
oct6146036601
92128601751
10832060801
11397749660
121b27a4801
131034c9b90
147c713225
154d0ab801
hex31983d81

832060801 has 64 divisors (see below), whose sum is σ = 1091930112. Its totient is φ = 622080000.

The previous prime is 832060781. The next prime is 832060819. The reversal of 832060801 is 108060238.

It is a 3-Lehmer number, since φ(832060801) divides (832060801-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 832060801 - 211 = 832058753 is a prime.

It is a deceptive number, since it divides R832060800.

It is a self number, because there is not a number n which added to its sum of digits gives 832060801.

It is not an unprimeable number, because it can be changed into a prime (832060861) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4596931 + ... + 4597111.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

It is a Poulet number, since it divides 2832060800-1.

Almost surely, 2832060801 is an apocalyptic number.

It is an amenable number.

832060801 is a deficient number, since it is larger than the sum of its proper divisors (259869311).

832060801 is a wasteful number, since it uses less digits than its factorization.

832060801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 832060801 is about 28845.4641321647. The cubic root of 832060801 is about 940.5567853476.

The spelling of 832060801 in words is "eight hundred thirty-two million, sixty thousand, eight hundred one".

Divisors: 1 11 13 17 31 61 143 181 187 221 341 403 527 671 793 1037 1891 1991 2353 2431 3077 4433 5611 5797 6851 8723 11041 11407 13481 20801 24583 25883 32147 33847 40001 61721 72943 75361 95387 121451 143533 148291 187697 270413 342271 353617 417911 440011 802373 1049257 1240031 1578863 2064667 2440061 3764981 4449523 4597021 5818607 13640341 26840671 48944753 64004677 75641891 832060801