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116541018 = 23411173847
BaseRepresentation
bin1101111001001…
…00011001011010
322010021220020000
412330210121122
5214313303033
615321513430
72613403506
oct674443132
9263256200
10116541018
115a869aa0
1233042876
131b1b56a9
1411699306
15a370a13
hex6f2465a

116541018 has 80 divisors (see below), whose sum is σ = 301713984. Its totient is φ = 33229440.

The previous prime is 116541017. The next prime is 116541031. The reversal of 116541018 is 810145611.

116541018 is a `hidden beast` number, since 1 + 1 + 654 + 1 + 0 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116540982 and 116541000.

It is not an unprimeable number, because it can be changed into a prime (116541017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28371 + ... + 32217.

Almost surely, 2116541018 is an apocalyptic number.

116541018 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 116541018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150856992).

116541018 is an abundant number, since it is smaller than the sum of its proper divisors (185172966).

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

116541018 is a wasteful number, since it uses less digits than its factorization.

116541018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 116541018 is about 10795.4165273972. The cubic root of 116541018 is about 488.4569227764.

Adding to 116541018 its reverse (810145611), we get a palindrome (926686629).

The spelling of 116541018 in words is "one hundred sixteen million, five hundred forty-one thousand, eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2754 3366 3847 5049 7694 10098 11541 15147 23082 30294 34623 42317 65399 69246 84634 103869 126951 130798 196197 207738 253902 311607 380853 392394 588591 623214 719389 761706 1142559 1177182 1438778 1765773 2158167 2285118 3427677 3531546 4316334 5297319 6474501 6855354 10594638 12949002 19423503 38847006 58270509 116541018