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115666416 = 24321734643
BaseRepresentation
bin1101110010011…
…10110111110000
322001122110111100
412321032313300
5214102311131
615251044400
72603101605
oct671166760
9261573440
10115666416
115a321988
12328a0700
131ac6a588
141150c6ac
15a24b7e6
hex6e4edf0

115666416 has 60 divisors (see below), whose sum is σ = 325646568. Its totient is φ = 38324352.

The previous prime is 115666409. The next prime is 115666417. The reversal of 115666416 is 614666511.

It is a happy number.

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 (115666417) 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, 22591 + ... + 27233.

Almost surely, 2115666416 is an apocalyptic number.

115666416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162823284).

115666416 is an abundant number, since it is smaller than the sum of its proper divisors (209980152).

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

115666416 is a wasteful number, since it uses less digits than its factorization.

115666416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4821 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 115666416 is about 10754.8322162645. The cubic root of 115666416 is about 487.2319504716.

The spelling of 115666416 in words is "one hundred fifteen million, six hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 4643 6228 8304 9286 12456 13929 18572 24912 27858 37144 41787 55716 74288 83574 111432 167148 222864 334296 668592 803239 1606478 2409717 3212956 4819434 6425912 7229151 9638868 12851824 14458302 19277736 28916604 38555472 57833208 115666416