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115034112 = 21132792
BaseRepresentation
bin1101101101101…
…00100000000000
322000110100010200
412312310200000
5213422042422
615225325200
72564526264
oct666644000
9260410120
10115034112
1159a2a916
1232636800
131aaa882b
14113c60a4
15a1742ac
hex6db4800

115034112 has 108 divisors (see below), whose sum is σ = 336498435. Its totient is φ = 37859328.

The previous prime is 115034111. The next prime is 115034119. The reversal of 115034112 is 211430511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 57517056 = 7584^2 + 7584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7584.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (115034111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1456089 + ... + 1456167.

Almost surely, 2115034112 is an apocalyptic number.

115034112 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 115034112

115034112 is an abundant number, since it is smaller than the sum of its proper divisors (221464323).

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

115034112 is an frugal number, since it uses more digits than its factorization.

115034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 115034112 is about 10725.3956570376. The cubic root of 115034112 is about 486.3424908923.

Multiplying 115034112 by its sum of digits (18), we get a square (2070614016 = 455042).

115034112 divided by its sum of digits (18) gives a square (6390784 = 25282).

Adding to 115034112 its reverse (211430511), we get a palindrome (326464623).

The spelling of 115034112 in words is "one hundred fifteen million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 512 576 632 711 768 948 1024 1152 1264 1422 1536 1896 2048 2304 2528 2844 3072 3792 4608 5056 5688 6144 6241 7584 9216 10112 11376 12482 15168 18432 18723 20224 22752 24964 30336 37446 40448 45504 49928 56169 60672 74892 80896 91008 99856 112338 121344 149784 161792 182016 199712 224676 242688 299568 364032 399424 449352 485376 599136 728064 798848 898704 1198272 1456128 1597696 1797408 2396544 3195392 3594816 4793088 6390784 7189632 9586176 12781568 14379264 19172352 28758528 38344704 57517056 115034112