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115432128 = 263473181
BaseRepresentation
bin1101110000101…
…01101011000000
322001012120010000
412320111223000
5214022312003
615242040000
72601104550
oct670255300
9261176100
10115432128
115a181959
12327a9000
131abb7a46
141148b160
15a2021a3
hex6e15ac0

115432128 has 140 divisors (see below), whose sum is σ = 391182352. Its totient is φ = 32970240.

The previous prime is 115432111. The next prime is 115432129. The reversal of 115432128 is 821234511.

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 (115432129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34698 + ... + 37878.

Almost surely, 2115432128 is an apocalyptic number.

115432128 is a gapful number since it is divisible by the number (18) 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 115432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195591176).

115432128 is an abundant number, since it is smaller than the sum of its proper divisors (275750224).

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

115432128 is an equidigital number, since it uses as much as digits as its factorization.

115432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3193 counting only the distinct ones).

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

The square root of 115432128 is about 10743.9344748560. The cubic root of 115432128 is about 486.9027573664.

Adding to 115432128 its reverse (821234511), we get a palindrome (936666639).

The spelling of 115432128 in words is "one hundred fifteen million, four hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 3181 4032 4536 5184 6048 6362 9072 9543 12096 12724 18144 19086 22267 25448 28629 36288 38172 44534 50896 57258 66801 76344 85887 89068 101792 114516 133602 152688 171774 178136 200403 203584 229032 257661 267204 305376 343548 356272 400806 458064 515322 534408 601209 610752 687096 712544 801612 916128 1030644 1068816 1202418 1374192 1425088 1603224 1803627 1832256 2061288 2137632 2404836 2748384 3206448 3607254 4122576 4275264 4809672 5496768 6412896 7214508 8245152 9619344 12825792 14429016 16490304 19238688 28858032 38477376 57716064 115432128