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115280640 = 2832510007
BaseRepresentation
bin1101101111100…
…00101100000000
322000220212022100
412313300230000
5214002440030
615234510400
72566604106
oct667605400
9260825270
10115280640
115a089062
1232735400
131ab63ac7
141144bc76
15a1c2360
hex6df0b00

115280640 has 108 divisors (see below), whose sum is σ = 398898864. Its totient is φ = 30738432.

The previous prime is 115280629. The next prime is 115280647. The reversal of 115280640 is 46082511.

115280640 is a `hidden beast` number, since 1 + 15 + 2 + 8 + 0 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (115280647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6517 + ... + 16523.

It is an arithmetic number, because the mean of its divisors is an integer number (3693508).

Almost surely, 2115280640 is an apocalyptic number.

115280640 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 115280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199449432).

115280640 is an abundant number, since it is smaller than the sum of its proper divisors (283618224).

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

115280640 is a wasteful number, since it uses less digits than its factorization.

115280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115280640 is about 10736.8822290272. The cubic root of 115280640 is about 486.6896676021.

The spelling of 115280640 in words is "one hundred fifteen million, two hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 10007 11520 20014 30021 40028 50035 60042 80056 90063 100070 120084 150105 160112 180126 200140 240168 300210 320224 360252 400280 450315 480336 600420 640448 720504 800560 900630 960672 1200840 1280896 1441008 1601120 1801260 1921344 2401680 2561792 2882016 3202240 3602520 3842688 4803360 5764032 6404480 7205040 7685376 9606720 11528064 12808960 14410080 19213440 23056128 28820160 38426880 57640320 115280640