Search a number
-
+
114435640 = 23511260081
BaseRepresentation
bin1101101001000…
…10011000111000
321222022221012001
412310202120320
5213243420030
615204430344
72556454414
oct664423070
9258287161
10114435640
1159661210
12323a83b4
131a9292c7
14112abd44
15a0a6cca
hex6d22638

114435640 has 32 divisors (see below), whose sum is σ = 280888560. Its totient is φ = 41612800.

The previous prime is 114435623. The next prime is 114435641. The reversal of 114435640 is 46534411.

It is a junction number, because it is equal to n+sod(n) for n = 114435599 and 114435608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114435641) 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, 129601 + ... + 130480.

Almost surely, 2114435640 is an apocalyptic number.

114435640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114435640 is an abundant number, since it is smaller than the sum of its proper divisors (166452920).

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

114435640 is a wasteful number, since it uses less digits than its factorization.

114435640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260103 (or 260099 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 114435640 is about 10697.4595114915. The cubic root of 114435640 is about 485.4976151747.

The spelling of 114435640 in words is "one hundred fourteen million, four hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 260081 520162 1040324 1300405 2080648 2600810 2860891 5201620 5721782 10403240 11443564 14304455 22887128 28608910 57217820 114435640