Search a number
-
+
114905190 = 2356016373
BaseRepresentation
bin1101101100101…
…01000001100110
322000012210021210
412312111001212
5213403431230
615222452250
72563451361
oct666250146
9260183253
10114905190
1159951a74
1232594086
131aa61c4a
14113910d8
15a14aeb0
hex6d95066

114905190 has 32 divisors (see below), whose sum is σ = 276274656. Its totient is φ = 30585600.

The previous prime is 114905183. The next prime is 114905191. The reversal of 114905190 is 91509411.

It is a super-2 number, since 2×1149051902 = 26406405377872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114905191) 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 15 ways as a sum of consecutive naturals, for example, 14844 + ... + 21216.

It is an arithmetic number, because the mean of its divisors is an integer number (8633583).

Almost surely, 2114905190 is an apocalyptic number.

114905190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114905190 is an abundant number, since it is smaller than the sum of its proper divisors (161369466).

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

114905190 is a wasteful number, since it uses less digits than its factorization.

114905190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984.

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 114905190 is about 10719.3838442328. The cubic root of 114905190 is about 486.1607370240.

Adding to 114905190 its sum of digits (30), we get a triangular number (114905220 = T15159).

The spelling of 114905190 in words is "one hundred fourteen million, nine hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 601 1202 1803 3005 3606 6010 6373 9015 12746 18030 19119 31865 38238 63730 95595 191190 3830173 7660346 11490519 19150865 22981038 38301730 57452595 114905190