Search a number
-
+
1139964160 = 285890597
BaseRepresentation
bin100001111110010…
…0111100100000000
32221110001011211211
41003330213210000
54313312323120
6305041215504
740151351446
oct10374474400
92843034754
101139964160
11535530a45
12279931594
1315223410a
14ab582b96
156a12c25a
hex43f27900

1139964160 has 36 divisors (see below), whose sum is σ = 2730573468. Its totient is φ = 455985152.

The previous prime is 1139964101. The next prime is 1139964169. The reversal of 1139964160 is 614699311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 732893184 + 407070976 = 27072^2 + 20176^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1139964169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 444019 + ... + 446578.

It is an arithmetic number, because the mean of its divisors is an integer number (75849263).

Almost surely, 21139964160 is an apocalyptic number.

1139964160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1139964160 is an abundant number, since it is smaller than the sum of its proper divisors (1590609308).

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

1139964160 is an frugal number, since it uses more digits than its factorization.

1139964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890618 (or 890604 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 1139964160 is about 33763.3552835023. The cubic root of 1139964160 is about 1044.6329793280.

The spelling of 1139964160 in words is "one billion, one hundred thirty-nine million, nine hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 890597 1781194 3562388 4452985 7124776 8905970 14249552 17811940 28499104 35623880 56998208 71247760 113996416 142495520 227992832 284991040 569982080 1139964160