Search a number
-
+
960854401 = 1325685529
BaseRepresentation
bin111001010001010…
…111100110000001
32110222000110110001
4321101113212001
53431434320101
6235202240001
732545061533
oct7121274601
92428013401
10960854401
11453417151
12229956001
131240b2500
149187b853
155954c901
hex39457981

960854401 has 6 divisors (see below), whose sum is σ = 1040451990. Its totient is φ = 886942368.

The previous prime is 960854383. The next prime is 960854407. The reversal of 960854401 is 104458069.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2890000 + 957964401 = 1700^2 + 30951^2 .

It is not a de Polignac number, because 960854401 - 215 = 960821633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (960854407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2842596 + ... + 2842933.

It is an arithmetic number, because the mean of its divisors is an integer number (173408665).

Almost surely, 2960854401 is an apocalyptic number.

It is an amenable number.

960854401 is a deficient number, since it is larger than the sum of its proper divisors (79597589).

960854401 is a wasteful number, since it uses less digits than its factorization.

960854401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685555 (or 5685542 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 960854401 is about 30997.6515400764. The cubic root of 960854401 is about 986.7774004619. Note that the first 3 decimals are identical.

It can be divided in two parts, 9608 and 54401, that added together give a square (64009 = 2532).

The spelling of 960854401 in words is "nine hundred sixty million, eight hundred fifty-four thousand, four hundred one".

Divisors: 1 13 169 5685529 73911877 960854401