Search a number
-
+
114517125 = 335333931
BaseRepresentation
bin1101101001101…
…10010010000101
321222111001222000
412310312102011
5213304022000
615210255513
72560244112
oct664662205
9258431860
10114517125
1159707458
1232427599
131a957418
14112cd909
15a0c1000
hex6d36485

114517125 has 32 divisors (see below), whose sum is σ = 211735680. Its totient is φ = 61074000.

The previous prime is 114517111. The next prime is 114517159. The reversal of 114517125 is 521715411.

It is not a de Polignac number, because 114517125 - 212 = 114513029 is a prime.

It is a super-2 number, since 2×1145171252 = 26228343836531250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13591 + ... + 20340.

It is an arithmetic number, because the mean of its divisors is an integer number (6616740).

Almost surely, 2114517125 is an apocalyptic number.

114517125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114517125 is a deficient number, since it is larger than the sum of its proper divisors (97218555).

114517125 is an equidigital number, since it uses as much as digits as its factorization.

114517125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33955 (or 33939 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 114517125 is about 10701.2674482979. The cubic root of 114517125 is about 485.6128222524.

The spelling of 114517125 in words is "one hundred fourteen million, five hundred seventeen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 3375 33931 101793 169655 305379 508965 848275 916137 1526895 2544825 4241375 4580685 7634475 12724125 22903425 38172375 114517125