Search a number
-
+
114940 = 2257821
BaseRepresentation
bin11100000011111100
312211200001
4130003330
512134230
62244044
7656050
oct340374
9184601
10114940
11793a1
1256624
1340417
142dc60
15240ca
hex1c0fc

114940 has 24 divisors (see below), whose sum is σ = 276192. Its totient is φ = 39360.

The previous prime is 114913. The next prime is 114941. The reversal of 114940 is 49411.

114940 = T34 + T35 + ... + T89.

It is a super-2 number, since 2×1149402 = 26422407200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (11508).

2114940 is an apocalyptic number.

114940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114940 is an abundant number, since it is smaller than the sum of its proper divisors (161252).

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

114940 is a wasteful number, since it uses less digits than its factorization.

114940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 114940 is about 339.0280224406. The cubic root of 114940 is about 48.6209825455.

Subtracting from 114940 its sum of digits (19), we obtain a square (114921 = 3392).

It can be divided in two parts, 1 and 14940, that added together give a palindrome (14941).

The spelling of 114940 in words is "one hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 821 1642 3284 4105 5747 8210 11494 16420 22988 28735 57470 114940