[go: up one dir, main page]

Search a number
-
+
1123160640 = 26357397421
BaseRepresentation
bin100001011110010…
…0001001001000000
32220021102110202020
41002330201021000
54300012120030
6303241121440
736555464550
oct10274411100
92807373666
101123160640
11526aa4238
12274189280
1314b8cc8c4
14a924b160
156890d510
hex42f21240

1123160640 has 224 divisors, whose sum is σ = 4095439104. Its totient is φ = 255467520.

The previous prime is 1123160627. The next prime is 1123160657. The reversal of 1123160640 is 460613211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11231606402 = 2522979646490419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1123160640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667630 + ... + 2668050.

Almost surely, 21123160640 is an apocalyptic number.

1123160640 is a gapful number since it is divisible by the number (10) 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 1123160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047719552).

1123160640 is an abundant number, since it is smaller than the sum of its proper divisors (2972278464).

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

1123160640 is a wasteful number, since it uses less digits than its factorization.

1123160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1123160640 is about 33513.5888857043. The cubic root of 1123160640 is about 1039.4747841123.

Adding to 1123160640 its reverse (460613211), we get a palindrome (1583773851).

The spelling of 1123160640 in words is "one billion, one hundred twenty-three million, one hundred sixty thousand, six hundred forty".