Search a number
-
+
1140771060 = 22335112131779
BaseRepresentation
bin100001111111110…
…1100100011110100
32221111120011201000
41003333230203310
54314014133220
6305110403300
740161252102
oct10377544364
92844504630
101140771060
11535a32200
1227a060530
13152457480
14ab712c72
156a23b390
hex43fec8f4

1140771060 has 576 divisors, whose sum is σ = 4504550400. Its totient is φ = 237219840.

The previous prime is 1140771053. The next prime is 1140771061. The reversal of 1140771060 is 601770411.

It is a super-2 number, since 2×11407710602 = 2602717222667047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140771061) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14440101 + ... + 14440179.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 21140771060 is an apocalyptic number.

1140771060 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 1140771060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252275200).

1140771060 is an abundant number, since it is smaller than the sum of its proper divisors (3363779340).

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

1140771060 is a wasteful number, since it uses less digits than its factorization.

1140771060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1140771060 is about 33775.3025152995. The cubic root of 1140771060 is about 1044.8793951303.

The spelling of 1140771060 in words is "one billion, one hundred forty million, seven hundred seventy-one thousand, sixty".