Search a number
-
+
7270747601 = 135340925801
BaseRepresentation
bin1101100010101111…
…01100110111010001
3200202201012020200012
412301113230313101
5104342302410401
63201245204305
7345114222605
oct66127546721
920681166605
107270747601
1130a1169317
1214aab60695
138bb431120
144cd8b7505
152c849a8bb
hex1b15ecdd1

7270747601 has 16 divisors (see below), whose sum is σ = 7997587920. Its totient is φ = 6568473600.

The previous prime is 7270747597. The next prime is 7270747621. The reversal of 7270747601 is 1067470727.

It can be written as a sum of positive squares in 8 ways, for example, as 214915600 + 7055832001 = 14660^2 + 83999^2 .

It is not a de Polignac number, because 7270747601 - 22 = 7270747597 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7270747621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268901 + ... + 294701.

It is an arithmetic number, because the mean of its divisors is an integer number (499849245).

Almost surely, 27270747601 is an apocalyptic number.

It is an amenable number.

7270747601 is a deficient number, since it is larger than the sum of its proper divisors (726840319).

7270747601 is a wasteful number, since it uses less digits than its factorization.

7270747601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26276.

The product of its (nonzero) digits is 115248, while the sum is 41.

The square root of 7270747601 is about 85268.6788979400. The cubic root of 7270747601 is about 1937.2828011314.

The spelling of 7270747601 in words is "seven billion, two hundred seventy million, seven hundred forty-seven thousand, six hundred one".

Divisors: 1 13 53 409 689 5317 21677 25801 281801 335413 1367453 10552609 17776889 137183917 559288277 7270747601