Search a number
-
+
114243720 = 23356171543
BaseRepresentation
bin1101100111100…
…11100010001000
321221222011220220
412303303202020
5213221244340
615200350040
72555025033
oct663634210
9257864826
10114243720
115953aaa8
1232315320
131a88cb46
141125c01a
15a069ed0
hex6cf3888

114243720 has 64 divisors (see below), whose sum is σ = 343509120. Its totient is φ = 30395904.

The previous prime is 114243709. The next prime is 114243743. The reversal of 114243720 is 27342411.

It is a happy number.

It is a super-3 number, since 3×1142437203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 73269 + ... + 74811.

It is an arithmetic number, because the mean of its divisors is an integer number (5367330).

Almost surely, 2114243720 is an apocalyptic number.

114243720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114243720 is an abundant number, since it is smaller than the sum of its proper divisors (229265400).

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

114243720 is a wasteful number, since it uses less digits than its factorization.

114243720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 114243720 is about 10688.4853931696. The cubic root of 114243720 is about 485.2260539730.

114243720 divided by its sum of digits (24) gives a triangular number (4760155 = T3085).

The spelling of 114243720 in words is "one hundred fourteen million, two hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 617 1234 1543 1851 2468 3085 3086 3702 4629 4936 6170 6172 7404 7715 9255 9258 12340 12344 14808 15430 18510 18516 23145 24680 30860 37020 37032 46290 61720 74040 92580 185160 952031 1904062 2856093 3808124 4760155 5712186 7616248 9520310 11424372 14280465 19040620 22848744 28560930 38081240 57121860 114243720