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1140713856 = 27326911433
BaseRepresentation
bin100001111111101…
…1110100110000000
32221111110021020100
41003333132212000
54314010320411
6305105242400
740160623242
oct10377364600
92844407210
101140713856
115359a3227
1227a033400
13152437419
14ab6da092
156a229456
hex43fde980

1140713856 has 96 divisors (see below), whose sum is σ = 3289567320. Its totient is φ = 379422720.

The previous prime is 1140713803. The next prime is 1140713857. The reversal of 1140713856 is 6583170411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1140713856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140713857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795316 + ... + 796748.

Almost surely, 21140713856 is an apocalyptic number.

1140713856 is a gapful number since it is divisible by the number (16) 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 1140713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644783660).

1140713856 is an abundant number, since it is smaller than the sum of its proper divisors (2148853464).

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

1140713856 is a wasteful number, since it uses less digits than its factorization.

1140713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1140713856 is about 33774.4556728898. The cubic root of 1140713856 is about 1044.8619296685.

The spelling of 1140713856 in words is "one billion, one hundred forty million, seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 691 1152 1382 1433 2073 2764 2866 4146 4299 5528 5732 6219 8292 8598 11056 11464 12438 12897 16584 17196 22112 22928 24876 25794 33168 34392 44224 45856 49752 51588 66336 68784 88448 91712 99504 103176 132672 137568 183424 199008 206352 265344 275136 398016 412704 550272 796032 825408 990203 1650816 1980406 2970609 3960812 5941218 7921624 8911827 11882436 15843248 17823654 23764872 31686496 35647308 47529744 63372992 71294616 95059488 126745984 142589232 190118976 285178464 380237952 570356928 1140713856