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83260401 = 375996619
BaseRepresentation
bin1001111011001…
…11001111110001
312210200001210120
410331213033301
5132303313101
612132320453
72030462460
oct475471761
9183601716
1083260401
1142aa8854
1223a73129
1314332413
14b0b49d7
157499b36
hex4f673f1

83260401 has 16 divisors (see below), whose sum is σ = 127104000. Its totient is φ = 47490768.

The previous prime is 83260379. The next prime is 83260409. The reversal of 83260401 is 10406238.

It is a happy number.

It is not a de Polignac number, because 83260401 - 213 = 83252209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83260409) 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 15 ways as a sum of consecutive naturals, for example, 9270 + ... + 15888.

It is an arithmetic number, because the mean of its divisors is an integer number (7944000).

Almost surely, 283260401 is an apocalyptic number.

It is an amenable number.

83260401 is a deficient number, since it is larger than the sum of its proper divisors (43843599).

83260401 is a wasteful number, since it uses less digits than its factorization.

83260401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83260401 is about 9124.7137489348. The cubic root of 83260401 is about 436.6627706533.

Adding to 83260401 its reverse (10406238), we get a palindrome (93666639).

The spelling of 83260401 in words is "eighty-three million, two hundred sixty thousand, four hundred one".

Divisors: 1 3 7 21 599 1797 4193 6619 12579 19857 46333 138999 3964781 11894343 27753467 83260401