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115442280 = 23335139769
BaseRepresentation
bin1101110000110…
…00001001101000
322001020002001000
412320120021220
5214023123110
615242155000
72601146262
oct670301150
9261202030
10115442280
115a189548
12327b2a60
131abbc555
1411490b32
15a2051c0
hex6e18268

115442280 has 128 divisors (see below), whose sum is σ = 388080000. Its totient is φ = 30523392.

The previous prime is 115442231. The next prime is 115442281. The reversal of 115442280 is 82244511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115442281) 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 31 ways as a sum of consecutive naturals, for example, 149736 + ... + 150504.

It is an arithmetic number, because the mean of its divisors is an integer number (3031875).

Almost surely, 2115442280 is an apocalyptic number.

115442280 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 115442280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194040000).

115442280 is an abundant number, since it is smaller than the sum of its proper divisors (272637720).

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

115442280 is a wasteful number, since it uses less digits than its factorization.

115442280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 115442280 is about 10744.4069170895. The cubic root of 115442280 is about 486.9170309544.

Adding to 115442280 its reverse (82244511), we get a palindrome (197686791).

It can be divided in two parts, 11544 and 2280, that added together give a cube (13824 = 243).

The spelling of 115442280 in words is "one hundred fifteen million, four hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 769 834 1080 1112 1251 1390 1538 1668 2085 2307 2502 2780 3076 3336 3753 3845 4170 4614 5004 5560 6152 6255 6921 7506 7690 8340 9228 10008 11535 12510 13842 15012 15380 16680 18456 18765 20763 23070 25020 27684 30024 30760 34605 37530 41526 46140 50040 55368 69210 75060 83052 92280 103815 106891 138420 150120 166104 207630 213782 276840 320673 415260 427564 534455 641346 830520 855128 962019 1068910 1282692 1603365 1924038 2137820 2565384 2886057 3206730 3848076 4275640 4810095 5772114 6413460 7696152 9620190 11544228 12826920 14430285 19240380 23088456 28860570 38480760 57721140 115442280