Search a number
-
+
114319000 = 2353114319
BaseRepresentation
bin1101101000001…
…01111010011000
321222010000012001
412310011322120
5213231202000
615202130344
72555460355
oct664057230
9258100161
10114319000
1159591614
12323509b4
131a8b81a3
141127b62c
15a08246a
hex6d05e98

114319000 has 32 divisors (see below), whose sum is σ = 267508800. Its totient is φ = 45727200.

The previous prime is 114318977. The next prime is 114319001. The reversal of 114319000 is 913411.

It is a happy number.

It is a super-2 number, since 2×1143190002 = 26137667522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114319001) by changing a digit.

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, 56160 + ... + 58159.

It is an arithmetic number, because the mean of its divisors is an integer number (8359650).

Almost surely, 2114319000 is an apocalyptic number.

114319000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114319000 is an abundant number, since it is smaller than the sum of its proper divisors (153189800).

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

114319000 is a wasteful number, since it uses less digits than its factorization.

114319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114340 (or 114326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 114319000 is about 10692.0063598934. The cubic root of 114319000 is about 485.3326092014.

The spelling of 114319000 in words is "one hundred fourteen million, three hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 114319 228638 457276 571595 914552 1143190 2286380 2857975 4572760 5715950 11431900 14289875 22863800 28579750 57159500 114319000