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114456078 = 2341125839
BaseRepresentation
bin1101101001001…
…11011000001110
321222100222020000
412310213120032
5213300043303
615205105130
72556601122
oct664473016
9258328200
10114456078
1159675600
12323b81a6
131a9356b9
14112b5582
15a0acda3
hex6d2760e

114456078 has 60 divisors (see below), whose sum is σ = 281949360. Its totient is φ = 34677720.

The previous prime is 114455993. The next prime is 114456079. The reversal of 114456078 is 870654411.

It is a happy number.

114456078 is a `hidden beast` number, since 1 + 1 + 4 + 45 + 607 + 8 = 666.

It is a super-2 number, since 2×1144560782 = 26200387582284168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114456079) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16683 + ... + 22521.

It is an arithmetic number, because the mean of its divisors is an integer number (4699156).

Almost surely, 2114456078 is an apocalyptic number.

114456078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114456078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140974680).

114456078 is an abundant number, since it is smaller than the sum of its proper divisors (167493282).

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

114456078 is a wasteful number, since it uses less digits than its factorization.

114456078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 114456078 is about 10698.4147423812. The cubic root of 114456078 is about 485.5265164552.

The spelling of 114456078 in words is "one hundred fourteen million, four hundred fifty-six thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 5839 6534 9801 11678 17517 19602 35034 52551 64229 105102 128458 157653 192687 315306 385374 472959 578061 706519 945918 1156122 1413038 1734183 2119557 3468366 4239114 5202549 6358671 10405098 12717342 19076013 38152026 57228039 114456078