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115965696 = 2837113753
BaseRepresentation
bin1101110100101…
…11111100000000
322002012200000210
412322113330000
5214141400241
615301314120
72605456260
oct672277400
9262180023
10115965696
115a506820
1232a05940
131b043872
14115897a0
15a2aa316
hex6e97f00

115965696 has 288 divisors, whose sum is σ = 402651648. Its totient is φ = 28753920.

The previous prime is 115965673. The next prime is 115965719. The reversal of 115965696 is 696569511.

It is an interprime number because it is at equal distance from previous prime (115965673) and next prime (115965719).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188006 + ... + 2188058.

It is an arithmetic number, because the mean of its divisors is an integer number (1398096).

Almost surely, 2115965696 is an apocalyptic number.

115965696 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 115965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325824).

115965696 is an abundant number, since it is smaller than the sum of its proper divisors (286685952).

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

115965696 is a wasteful number, since it uses less digits than its factorization.

115965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 437400, while the sum is 48.

The square root of 115965696 is about 10768.7369732945. The cubic root of 115965696 is about 487.6518164905.

It can be divided in two parts, 11 and 5965696, that multiplied together give a palindrome (65622656).

The spelling of 115965696 in words is "one hundred fifteen million, nine hundred sixty-five thousand, six hundred ninety-six".