Search a number
-
+
116278164 = 223217189997
BaseRepresentation
bin1101110111001…
…00001110010100
322002210112122200
412323210032110
5214231400124
615312124500
72611230252
oct673441624
9262715580
10116278164
115a6aa562
1232b36730
131b122b62
141162b5d2
15a31cbc9
hex6ee4394

116278164 has 36 divisors (see below), whose sum is σ = 311216724. Its totient is φ = 36479232.

The previous prime is 116278163. The next prime is 116278171. The reversal of 116278164 is 461872611.

It is a happy number.

116278164 is a `hidden beast` number, since 11 + 627 + 8 + 16 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 74132100 = 6492^2 + 8610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1162781642 = 27041222846421792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116278163) 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, 94387 + ... + 95610.

It is an arithmetic number, because the mean of its divisors is an integer number (8644909).

Almost surely, 2116278164 is an apocalyptic number.

It is an amenable number.

116278164 is an abundant number, since it is smaller than the sum of its proper divisors (194938560).

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

116278164 is a wasteful number, since it uses less digits than its factorization.

116278164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190024 (or 190019 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 116278164 is about 10783.2353215535. The cubic root of 116278164 is about 488.0894141007.

It can be divided in two parts, 11627 and 8164, that added together give a palindrome (19791).

The spelling of 116278164 in words is "one hundred sixteen million, two hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 189997 379994 569991 759988 1139982 1709973 2279964 3229949 3419946 6459898 6839892 9689847 12919796 19379694 29069541 38759388 58139082 116278164