Search a number
-
+
1320947696 = 24315945139
BaseRepresentation
bin100111010111100…
…0000111111110000
310102001121002120202
41032233000333300
510201130311241
6335024254332
744506604315
oct11657007760
93361532522
101320947696
11618705612
1230a4713a8
13180890873
14c7614d0c
157ae7bd9b
hex4ebc0ff0

1320947696 has 40 divisors (see below), whose sum is σ = 2686732800. Its totient is φ = 628320960.

The previous prime is 1320947689. The next prime is 1320947713. The reversal of 1320947696 is 6967490231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1320947696.

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 7 ways as a sum of consecutive naturals, for example, 6695 + ... + 51833.

It is an arithmetic number, because the mean of its divisors is an integer number (67168320).

Almost surely, 21320947696 is an apocalyptic number.

1320947696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320947696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343366400).

1320947696 is an abundant number, since it is smaller than the sum of its proper divisors (1365785104).

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

1320947696 is a wasteful number, since it uses less digits than its factorization.

1320947696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45237 (or 45231 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 1320947696 is about 36344.8441460409. The cubic root of 1320947696 is about 1097.2237693639.

The spelling of 1320947696 in words is "one billion, three hundred twenty million, nine hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3658 7316 14632 29264 45139 90278 180556 361112 722224 1399309 2663201 2798618 5326402 5597236 10652804 11194472 21305608 22388944 42611216 82559231 165118462 330236924 660473848 1320947696