Search a number
-
+
1382135766 = 231129722119
BaseRepresentation
bin101001001100001…
…1011011111010110
310120022201202211120
41102120123133112
510312311321031
6345051544410
746151650224
oct12230333726
93508652746
101382135766
1164a1a8070
12326a5b106
1319046551b
14d17c1b14
1581516a96
hex5261b7d6

1382135766 has 32 divisors (see below), whose sum is σ = 3119558400. Its totient is φ = 404386080.

The previous prime is 1382135759. The next prime is 1382135773. The reversal of 1382135766 is 6675312831.

It is an interprime number because it is at equal distance from previous prime (1382135759) and next prime (1382135773).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 359146 + ... + 362973.

It is an arithmetic number, because the mean of its divisors is an integer number (97486200).

Almost surely, 21382135766 is an apocalyptic number.

1382135766 is an abundant number, since it is smaller than the sum of its proper divisors (1737422634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1382135766 is a wasteful number, since it uses less digits than its factorization.

1382135766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722164.

The product of its digits is 181440, while the sum is 42.

The square root of 1382135766 is about 37177.0865722423. The cubic root of 1382135766 is about 1113.9103395268.

The spelling of 1382135766 in words is "one billion, three hundred eighty-two million, one hundred thirty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 722119 1444238 2166357 4332714 7943309 15886618 20941451 23829927 41882902 47659854 62824353 125648706 230355961 460711922 691067883 1382135766