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115643040 = 2535892707
BaseRepresentation
bin1101110010010…
…01001010100000
322001121021102120
412321021022200
5214101034130
615250344240
72602643502
oct671111240
9261537376
10115643040
115a306367
123288b080
131ac5ca46
1411503d72
15a244910
hex6e492a0

115643040 has 96 divisors (see below), whose sum is σ = 368504640. Its totient is φ = 30480384.

The previous prime is 115642999. The next prime is 115643041. The reversal of 115643040 is 40346511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115643040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115643041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41367 + ... + 44073.

It is an arithmetic number, because the mean of its divisors is an integer number (3838590).

Almost surely, 2115643040 is an apocalyptic number.

115643040 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 115643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184252320).

115643040 is an abundant number, since it is smaller than the sum of its proper divisors (252861600).

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

115643040 is a wasteful number, since it uses less digits than its factorization.

115643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 115643040 is about 10753.7453940476. The cubic root of 115643040 is about 487.1991253243.

Adding to 115643040 its reverse (40346511), we get a palindrome (155989551).

The spelling of 115643040 in words is "one hundred fifteen million, six hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2707 2848 3560 4272 5340 5414 7120 8121 8544 10680 10828 13535 14240 16242 21360 21656 27070 32484 40605 42720 43312 54140 64968 81210 86624 108280 129936 162420 216560 240923 259872 324840 433120 481846 649680 722769 963692 1204615 1299360 1445538 1927384 2409230 2891076 3613845 3854768 4818460 5782152 7227690 7709536 9636920 11564304 14455380 19273840 23128608 28910760 38547680 57821520 115643040