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1140868096 = 2101765537
BaseRepresentation
bin100010000000000…
…0100010000000000
32221111202002210221
41010000010100000
54314030234341
6305112432424
740162135024
oct10400042000
92844662727
101140868096
11535a990a5
1227a0a8714
1315248c6a4
14ab73a384
156a259ed1
hex44004400

1140868096 has 44 divisors (see below), whose sum is σ = 2414813148. Its totient is φ = 536870912.

The previous prime is 1140868093. The next prime is 1140868121. The reversal of 1140868096 is 6908680411.

It can be written as a sum of positive squares in 2 ways, for example, as 1071645696 + 69222400 = 32736^2 + 8320^2 .

It is a super-3 number, since 3×11408680963 (a number of 28 digits) contains 333 as substring.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1140868093) by changing a digit.

In principle, a polygon with 1140868096 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15361 + ... + 50176.

It is an arithmetic number, because the mean of its divisors is an integer number (54882117).

Almost surely, 21140868096 is an apocalyptic number.

1140868096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1140868096 is an abundant number, since it is smaller than the sum of its proper divisors (1273945052).

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

1140868096 is an equidigital number, since it uses as much as digits as its factorization.

1140868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65574 (or 65556 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 1140868096 is about 33776.7389781785. The cubic root of 1140868096 is about 1044.9090207189.

The spelling of 1140868096 in words is "one billion, one hundred forty million, eight hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 17408 65537 131074 262148 524296 1048592 1114129 2097184 2228258 4194368 4456516 8388736 8913032 16777472 17826064 33554944 35652128 67109888 71304256 142608512 285217024 570434048 1140868096