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1140531140 = 2257294347139
BaseRepresentation
bin100001111111011…
…0001111111000100
32221111002222121002
41003332301333010
54313433444030
6305101312432
740156232450
oct10376617704
92844088532
101140531140
11535888a21
12279b65718
131523a21c8
14ab68d660
156a1e0245
hex43fb1fc4

1140531140 has 192 divisors, whose sum is σ = 2980454400. Its totient is φ = 358331904.

The previous prime is 1140531131. The next prime is 1140531167. The reversal of 1140531140 is 411350411.

It is a happy number.

It is a super-2 number, since 2×11405311402 = 2601622562619399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8205191 + ... + 8205329.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 21140531140 is an apocalyptic number.

1140531140 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 1140531140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

1140531140 is an abundant number, since it is smaller than the sum of its proper divisors (1839923260).

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

1140531140 is a wasteful number, since it uses less digits than its factorization.

1140531140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1140531140 is about 33771.7506208962. The cubic root of 1140531140 is about 1044.8061391108.

Adding to 1140531140 its reverse (411350411), we get a palindrome (1551881551).

The spelling of 1140531140 in words is "one billion, one hundred forty million, five hundred thirty-one thousand, one hundred forty".