Search a number
-
+
1246382401 = 11210300681
BaseRepresentation
bin100101001001010…
…0100100101000001
310012212021210020011
41022102210211001
510023033214101
6323402144521
742613034635
oct11222444501
93185253204
101246382401
1158a606600
122a94b2141
1316b2b40a4
14bb764dc5
157464d751
hex4a4a4941

1246382401 has 6 divisors (see below), whose sum is σ = 1369990706. Its totient is φ = 1133074800.

The previous prime is 1246382399. The next prime is 1246382419. The reversal of 1246382401 is 1042836421.

It can be written as a sum of positive squares in only one way, i.e., 805424400 + 440958001 = 28380^2 + 20999^2 .

It is not a de Polignac number, because 1246382401 - 21 = 1246382399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1246382461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5150220 + ... + 5150461.

Almost surely, 21246382401 is an apocalyptic number.

1246382401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1246382401 is a deficient number, since it is larger than the sum of its proper divisors (123608305).

1246382401 is a wasteful number, since it uses less digits than its factorization.

1246382401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300703 (or 10300692 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1246382401 is about 35304.1414142874. The cubic root of 1246382401 is about 1076.1771568033.

It can be divided in two parts, 12463 and 82401, that added together give a square (94864 = 3082).

The spelling of 1246382401 in words is "one billion, two hundred forty-six million, three hundred eighty-two thousand, four hundred one".

Divisors: 1 11 121 10300681 113307491 1246382401