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115734528 = 2113371323
BaseRepresentation
bin1101110010111…
…11100000000000
322001202220221000
412321133200000
5214112001103
615252332000
72603504310
oct671374000
9261686830
10115734528
115a369078
1232914000
131ac92590
1411529440
15a261aa3
hex6e5f800

115734528 has 384 divisors, whose sum is σ = 440294400. Its totient is φ = 29196288.

The previous prime is 115734523. The next prime is 115734559. The reversal of 115734528 is 825437511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (33600) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 115734492 and 115734501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115734523) 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, 5031925 + ... + 5031947.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2115734528 is an apocalyptic number.

115734528 is a gapful number since it is divisible by the number (18) 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 115734528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

115734528 is an abundant number, since it is smaller than the sum of its proper divisors (324559872).

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

115734528 is a wasteful number, since it uses less digits than its factorization.

115734528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 115734528 is about 10757.9983268264. The cubic root of 115734528 is about 487.3275697873.

Adding to 115734528 its sum of digits (36), we get a square (115734564 = 107582).

The spelling of 115734528 in words is "one hundred fifteen million, seven hundred thirty-four thousand, five hundred twenty-eight".