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172047601 = 112432769
BaseRepresentation
bin10100100000100…
…11110011110001
3102222201220221101
422100103303301
5323021010401
625023324401
74156244335
oct1220236361
9388656841
10172047601
1189130a00
1249750701
132984b31b
1418bc77c5
1510187101
hexa413cf1

172047601 has 18 divisors (see below), whose sum is σ = 193862130. Its totient is φ = 152570880.

The previous prime is 172047587. The next prime is 172047607. The reversal of 172047601 is 106740271.

It can be written as a sum of positive squares in only one way, i.e., 139830625 + 32216976 = 11825^2 + 5676^2 .

It is not a de Polignac number, because 172047601 - 25 = 172047569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 172047601.

It is not an unprimeable number, because it can be changed into a prime (172047607) 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 17 ways as a sum of consecutive naturals, for example, 223345 + ... + 224113.

Almost surely, 2172047601 is an apocalyptic number.

172047601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

172047601 is a deficient number, since it is larger than the sum of its proper divisors (21814529).

172047601 is an equidigital number, since it uses as much as digits as its factorization.

172047601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 172047601 is about 13116.6916941735. The cubic root of 172047601 is about 556.1810748920.

Adding to 172047601 its reverse (106740271), we get a palindrome (278787872).

The spelling of 172047601 in words is "one hundred seventy-two million, forty-seven thousand, six hundred one".

Divisors: 1 11 43 121 473 769 1849 5203 8459 20339 33067 93049 223729 363737 1421881 4001107 15640691 172047601