Search a number
-
+
114640 = 2451433
BaseRepresentation
bin11011111111010000
312211020221
4123333100
512132030
62242424
7655141
oct337720
9184227
10114640
1179149
1256414
1340246
142dac8
1523e7a
hex1bfd0

114640 has 20 divisors (see below), whose sum is σ = 266724. Its totient is φ = 45824.

The previous prime is 114617. The next prime is 114641. The reversal of 114640 is 46411.

Added to its reverse (46411) it gives a 5-th power (161051 = 115).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 44944 = 264^2 + 212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637 + ... + 796.

2114640 is an apocalyptic number.

114640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114640 is an abundant number, since it is smaller than the sum of its proper divisors (152084).

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

114640 is a wasteful number, since it uses less digits than its factorization.

114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114640 is about 338.5852920610. The cubic root of 114640 is about 48.5786445038.

Adding to 114640 its reverse (46411), we get a 5-th power (161051 = 115).

It can be divided in two parts, 11 and 4640, that multiplied together give a triangular number (51040 = T319).

The spelling of 114640 in words is "one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1433 2866 5732 7165 11464 14330 22928 28660 57320 114640