Search a number
-
+
1320849657 = 321912760821
BaseRepresentation
bin100111010111010…
…1001000011111001
310102001102010002200
41032232221003321
510201114142112
6335022220413
744506015431
oct11656510371
93361363080
101320849657
11618648996
1230a424709
1318085805a
14c75cb2c1
157ae5ccdc
hex4eba90f9

1320849657 has 24 divisors (see below), whose sum is σ = 2024156160. Its totient is φ = 827638560.

The previous prime is 1320849611. The next prime is 1320849703. The reversal of 1320849657 is 7569480231.

1320849657 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1320849611) and next prime (1320849703).

It is not a de Polignac number, because 1320849657 - 214 = 1320833273 is a prime.

1320849657 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1320849557) 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 23 ways as a sum of consecutive naturals, for example, 8694 + ... + 52127.

It is an arithmetic number, because the mean of its divisors is an integer number (84339840).

It is a 1-persistent number, because it is pandigital, but 2⋅1320849657 = 2641699314 is not.

Almost surely, 21320849657 is an apocalyptic number.

It is an amenable number.

1320849657 is a deficient number, since it is larger than the sum of its proper divisors (703306503).

1320849657 is a wasteful number, since it uses less digits than its factorization.

1320849657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60973 (or 60970 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1320849657 is about 36343.4953877582. The cubic root of 1320849657 is about 1097.1966238575.

The spelling of 1320849657 in words is "one billion, three hundred twenty million, eight hundred forty-nine thousand, six hundred fifty-seven".

Divisors: 1 3 9 19 57 127 171 381 1143 2413 7239 21717 60821 182463 547389 1155599 3466797 7724267 10400391 23172801 69518403 146761073 440283219 1320849657