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240116868 = 2232291271811
BaseRepresentation
bin11100100111111…
…10010010000100
3121201211012102100
432103332102010
5442432214433
635454312100
75643650115
oct1623762204
9551735370
10240116868
111135a33a2
12684b8630
133a9920b4
1423c6620c
1516130b13
hexe4fe484

240116868 has 72 divisors (see below), whose sum is σ = 633185280. Its totient is φ = 76628160.

The previous prime is 240116867. The next prime is 240116879. The reversal of 240116868 is 868611042.

240116868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2401168682 = 115312220596258848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (240116867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131683 + ... + 133493.

It is an arithmetic number, because the mean of its divisors is an integer number (8794240).

Almost surely, 2240116868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240116868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316592640).

240116868 is an abundant number, since it is smaller than the sum of its proper divisors (393068412).

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

240116868 is a wasteful number, since it uses less digits than its factorization.

240116868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 240116868 is about 15495.7048242408. The cubic root of 240116868 is about 621.5473559467.

The spelling of 240116868 in words is "two hundred forty million, one hundred sixteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 127 174 254 261 348 381 508 522 762 1044 1143 1524 1811 2286 3622 3683 4572 5433 7244 7366 10866 11049 14732 16299 21732 22098 32598 33147 44196 52519 65196 66294 105038 132588 157557 210076 229997 315114 459994 472671 630228 689991 919988 945342 1379982 1890684 2069973 2759964 4139946 6669913 8279892 13339826 20009739 26679652 40019478 60029217 80038956 120058434 240116868