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115889680 = 2451785213
BaseRepresentation
bin1101110100001…
…01011000010000
322002001210202101
412322011120100
5214131432210
615255530144
72605021534
oct672053020
9262053671
10115889680
115a4646a5
1232989954
131b01809a
1411569bc4
15a292a3a
hex6e85610

115889680 has 40 divisors (see below), whose sum is σ = 285296472. Its totient is φ = 43628544.

The previous prime is 115889633. The next prime is 115889689. The reversal of 115889680 is 86988511.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 94322944 = 4644^2 + 9712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 115889680.

It is not an unprimeable number, because it can be changed into a prime (115889689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41247 + ... + 43966.

Almost surely, 2115889680 is an apocalyptic number.

115889680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115889680 is an abundant number, since it is smaller than the sum of its proper divisors (169406792).

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

115889680 is a wasteful number, since it uses less digits than its factorization.

115889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85243 (or 85237 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The square root of 115889680 is about 10765.2069185873. The cubic root of 115889680 is about 487.5452405966.

The spelling of 115889680 in words is "one hundred fifteen million, eight hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 85213 170426 340852 426065 681704 852130 1363408 1448621 1704260 2897242 3408520 5794484 6817040 7243105 11588968 14486210 23177936 28972420 57944840 115889680