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126082801 = 1311385829
BaseRepresentation
bin1111000001111…
…01111011110001
322210020200002101
413200331323301
5224234122201
620302220401
73060454225
oct740757361
9283220071
10126082801
1165196969
1236284701
1320176810
1412a60785
15b107d01
hex783def1

126082801 has 8 divisors (see below), whose sum is σ = 136984680. Its totient is φ = 115352832.

The previous prime is 126082799. The next prime is 126082867. The reversal of 126082801 is 108280621.

It can be written as a sum of positive squares in 4 ways, for example, as 23040000 + 103042801 = 4800^2 + 10151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126082801 - 21 = 126082799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126082801.

It is not an unprimeable number, because it can be changed into a prime (126082501) 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 7 ways as a sum of consecutive naturals, for example, 41446 + ... + 44383.

It is an arithmetic number, because the mean of its divisors is an integer number (17123085).

Almost surely, 2126082801 is an apocalyptic number.

It is an amenable number.

126082801 is a deficient number, since it is larger than the sum of its proper divisors (10901879).

126082801 is a wasteful number, since it uses less digits than its factorization.

126082801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85955.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 126082801 is about 11228.6598042687. The cubic root of 126082801 is about 501.4395858738.

The spelling of 126082801 in words is "one hundred twenty-six million, eighty-two thousand, eight hundred one".

Divisors: 1 13 113 1469 85829 1115777 9698677 126082801