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115042032 = 243671409
BaseRepresentation
bin1101101101101…
…10011011110000
322000110202000000
412312312123300
5213422321112
615225430000
72564561340
oct666663360
9260422000
10115042032
1159a35866
123263b300
131aaac311
14113c8d20
15a1767dc
hex6db66f0

115042032 has 140 divisors (see below), whose sum is σ = 382200240. Its totient is φ = 32845824.

The previous prime is 115042019. The next prime is 115042063. The reversal of 115042032 is 230240511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 115041996 and 115042014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80944 + ... + 82352.

Almost surely, 2115042032 is an apocalyptic number.

115042032 is a gapful number since it is divisible by the number (12) 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 115042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100120).

115042032 is an abundant number, since it is smaller than the sum of its proper divisors (267158208).

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

115042032 is an equidigital number, since it uses as much as digits as its factorization.

115042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 115042032 is about 10725.7648678311. The cubic root of 115042032 is about 486.3536520574.

Adding to 115042032 its reverse (230240511), we get a palindrome (345282543).

The spelling of 115042032 in words is "one hundred fifteen million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1409 1458 1512 1701 1944 2268 2818 2916 3024 3402 3888 4227 4536 5103 5636 5832 6804 8454 9072 9863 10206 11272 11664 12681 13608 16908 19726 20412 22544 25362 27216 29589 33816 38043 39452 40824 50724 59178 67632 76086 78904 81648 88767 101448 114129 118356 152172 157808 177534 202896 228258 236712 266301 304344 342387 355068 456516 473424 532602 608688 684774 710136 798903 913032 1027161 1065204 1369548 1420272 1597806 1826064 2054322 2130408 2396709 2739096 3195612 4108644 4260816 4793418 5478192 6391224 7190127 8217288 9586836 12782448 14380254 16434576 19173672 28760508 38347344 57521016 115042032