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114575168 = 2619591597
BaseRepresentation
bin1101101010001…
…00011101000000
321222121000120202
412311010131000
5213312401133
615211424332
72560605251
oct665043500
9258530522
10114575168
1159747024
12324550a8
131a977976
1411306b28
15a0d32e8
hex6d44740

114575168 has 56 divisors (see below), whose sum is σ = 243535200. Its totient is φ = 53319168.

The previous prime is 114575137. The next prime is 114575173. The reversal of 114575168 is 861575411.

It is a super-3 number, since 3×1145751683 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70946 + ... + 72542.

Almost surely, 2114575168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114575168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121767600).

114575168 is an abundant number, since it is smaller than the sum of its proper divisors (128960032).

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

114575168 is a wasteful number, since it uses less digits than its factorization.

114575168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1677 counting only the distinct ones).

The product of its digits is 33600, while the sum is 38.

The square root of 114575168 is about 10703.9790732232. The cubic root of 114575168 is about 485.6948526745.

The spelling of 114575168 in words is "one hundred fourteen million, five hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 152 236 304 472 608 944 1121 1216 1597 1888 2242 3194 3776 4484 6388 8968 12776 17936 25552 30343 35872 51104 60686 71744 94223 102208 121372 188446 242744 376892 485488 753784 970976 1507568 1790237 1941952 3015136 3580474 6030272 7160948 14321896 28643792 57287584 114575168