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115431400 = 23527412011
BaseRepresentation
bin1101110000101…
…01011111101000
322001012112010001
412320111133220
5214022301100
615242032344
72601102460
oct670253750
9261175101
10115431400
115a181357
12327a86b4
131abb7606
141148aba0
15a201d6a
hex6e157e8

115431400 has 96 divisors (see below), whose sum is σ = 314354880. Its totient is φ = 38592000.

The previous prime is 115431391. The next prime is 115431413. The reversal of 115431400 is 4134511.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56395 + ... + 58405.

It is an arithmetic number, because the mean of its divisors is an integer number (3274530).

Almost surely, 2115431400 is an apocalyptic number.

115431400 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 115431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157177440).

115431400 is an abundant number, since it is smaller than the sum of its proper divisors (198923480).

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

115431400 is a wasteful number, since it uses less digits than its factorization.

115431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 115431400 is about 10743.9005952215. The cubic root of 115431400 is about 486.9017337752.

Adding to 115431400 its reverse (4134511), we get a palindrome (119565911).

The spelling of 115431400 in words is "one hundred fifteen million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2011 2050 2296 2870 4022 4100 5740 7175 8044 8200 10055 11480 14077 14350 16088 20110 28154 28700 40220 50275 56308 57400 70385 80440 82451 100550 112616 140770 164902 201100 281540 329804 351925 402200 412255 563080 577157 659608 703850 824510 1154314 1407700 1649020 2061275 2308628 2815400 2885785 3298040 4122550 4617256 5771570 8245100 11543140 14428925 16490200 23086280 28857850 57715700 115431400