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115986468 = 223132333191
BaseRepresentation
bin1101110100111…
…01000000100100
322002020201112010
412322131000210
5214143031333
615301554220
72605603653
oct672350044
9262221463
10115986468
115a520394
1232a15970
131b050160
141159319a
15a2b1563
hex6e9d024

115986468 has 48 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 35523840.

The previous prime is 115986467. The next prime is 115986473. The reversal of 115986468 is 864689511.

It is not an unprimeable number, because it can be changed into a prime (115986463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34753 + ... + 37943.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2115986468 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 115986468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

115986468 is an abundant number, since it is smaller than the sum of its proper divisors (176809308).

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

115986468 is a wasteful number, since it uses less digits than its factorization.

115986468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3442 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 115986468 is about 10769.7013886180. The cubic root of 115986468 is about 487.6809311314.

The spelling of 115986468 in words is "one hundred fifteen million, nine hundred eighty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 3191 6058 6382 9087 9573 12116 12764 18174 19146 36348 38292 41483 82966 124449 165932 248898 497796 743503 1487006 2230509 2974012 4461018 8922036 9665539 19331078 28996617 38662156 57993234 115986468