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115452640 = 25523137229
BaseRepresentation
bin1101110000110…
…10101011100000
322001020121020201
412320122223200
5214023441030
615242314544
72601221422
oct670325340
9261217221
10115452640
115a196306
12327b8a54
131abc4194
1411494812
15a2082ca
hex6e1aae0

115452640 has 96 divisors (see below), whose sum is σ = 287945280. Its totient is φ = 43659264.

The previous prime is 115452613. The next prime is 115452643. The reversal of 115452640 is 46254511.

It is a junction number, because it is equal to n+sod(n) for n = 115452599 and 115452608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115452643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504046 + ... + 504274.

It is an arithmetic number, because the mean of its divisors is an integer number (2999430).

Almost surely, 2115452640 is an apocalyptic number.

115452640 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 115452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143972640).

115452640 is an abundant number, since it is smaller than the sum of its proper divisors (172492640).

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

115452640 is a wasteful number, since it uses less digits than its factorization.

115452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 115452640 is about 10744.8890175748. The cubic root of 115452640 is about 486.9315961251.

The spelling of 115452640 in words is "one hundred fifteen million, four hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 137 160 184 229 230 274 368 458 460 548 685 736 916 920 1096 1145 1370 1832 1840 2192 2290 2740 3151 3664 3680 4384 4580 5267 5480 6302 7328 9160 10534 10960 12604 15755 18320 21068 21920 25208 26335 31373 31510 36640 42136 50416 52670 62746 63020 84272 100832 105340 125492 126040 156865 168544 210680 250984 252080 313730 421360 501968 504160 627460 721579 842720 1003936 1254920 1443158 2509840 2886316 3607895 5019680 5772632 7215790 11545264 14431580 23090528 28863160 57726320 115452640