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114534160 = 24513110129
BaseRepresentation
bin1101101001110…
…10011100010000
321222111221022221
412310322130100
5213310043120
615210510424
72560344556
oct664723420
9258457287
10114534160
1159719234
1232435414
131a9620c0
14112d5bd6
15a0c60aa
hex6d3a710

114534160 has 40 divisors (see below), whose sum is σ = 286778520. Its totient is φ = 42289152.

The previous prime is 114534157. The next prime is 114534187. The reversal of 114534160 is 61435411.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 114318864 = 464^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54025 + ... + 56104.

It is an arithmetic number, because the mean of its divisors is an integer number (7169463).

Almost surely, 2114534160 is an apocalyptic number.

114534160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114534160 is an abundant number, since it is smaller than the sum of its proper divisors (172244360).

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

114534160 is a wasteful number, since it uses less digits than its factorization.

114534160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110155 (or 110149 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 114534160 is about 10702.0633524569. The cubic root of 114534160 is about 485.6369001775.

Adding to 114534160 its reverse (61435411), we get a palindrome (175969571).

The spelling of 114534160 in words is "one hundred fourteen million, five hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 110129 220258 440516 550645 881032 1101290 1431677 1762064 2202580 2863354 4405160 5726708 7158385 8810320 11453416 14316770 22906832 28633540 57267080 114534160