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114375168 = 293224821
BaseRepresentation
bin1101101000100…
…11101000000000
321222012212020100
412310103220000
5213240001133
615203242400
72556113205
oct664235000
9258185210
10114375168
115961a836
1232379400
131a90791b
1411293cac
15a093e13
hex6d13a00

114375168 has 60 divisors (see below), whose sum is σ = 330107778. Its totient is φ = 38123520.

The previous prime is 114375161. The next prime is 114375169. The reversal of 114375168 is 861573411.

It can be written as a sum of positive squares in only one way, i.e., 110502144 + 3873024 = 10512^2 + 1968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114375161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7803 + ... + 17018.

Almost surely, 2114375168 is an apocalyptic number.

114375168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114375168 is an abundant number, since it is smaller than the sum of its proper divisors (215732610).

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

114375168 is an equidigital number, since it uses as much as digits as its factorization.

114375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24845 (or 24826 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 114375168 is about 10694.6326725138. The cubic root of 114375168 is about 485.4120818427.

The spelling of 114375168 in words is "one hundred fourteen million, three hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 24821 49642 74463 99284 148926 198568 223389 297852 397136 446778 595704 794272 893556 1191408 1588544 1787112 2382816 3177088 3574224 4765632 6354176 7148448 9531264 12708352 14296896 19062528 28593792 38125056 57187584 114375168