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115639680 = 27351341113
BaseRepresentation
bin1101110010010…
…00010110000000
322001121002211010
412321020112000
5214100432210
615250320520
72602630632
oct671102600
9261532733
10115639680
115a303892
1232889140
131ac5b360
1411502a52
15a243920
hex6e48580

115639680 has 256 divisors, whose sum is σ = 410235840. Its totient is φ = 27525120.

The previous prime is 115639673. The next prime is 115639687. The reversal of 115639680 is 86936511.

It is an interprime number because it is at equal distance from previous prime (115639673) and next prime (115639687).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115639687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023304 + ... + 1023416.

Almost surely, 2115639680 is an apocalyptic number.

115639680 is a gapful number since it is divisible by the number (10) 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 115639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205117920).

115639680 is an abundant number, since it is smaller than the sum of its proper divisors (294596160).

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

115639680 is a wasteful number, since it uses less digits than its factorization.

115639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 115639680 is about 10753.5891682731. The cubic root of 115639680 is about 487.1944067671.

The spelling of 115639680 in words is "one hundred fifteen million, six hundred thirty-nine thousand, six hundred eighty".