Search a number
-
+
114431020 = 225111573313
BaseRepresentation
bin1101101001000…
…01010000101100
321222022200211221
412310201100230
5213243243040
615204353124
72556435064
oct664412054
9258280757
10114431020
11596587a0
12323a57a4
131a927182
14112aa3a4
15a0a574a
hex6d2142c

114431020 has 48 divisors (see below), whose sum is σ = 263900448. Its totient is φ = 41333760.

The previous prime is 114430999. The next prime is 114431027. The reversal of 114431020 is 20134411.

It is a junction number, because it is equal to n+sod(n) for n = 114430985 and 114431003.

It is not an unprimeable number, because it can be changed into a prime (114431027) 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 15 ways as a sum of consecutive naturals, for example, 32884 + ... + 36196.

It is an arithmetic number, because the mean of its divisors is an integer number (5497926).

Almost surely, 2114431020 is an apocalyptic number.

114431020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131950224).

114431020 is an abundant number, since it is smaller than the sum of its proper divisors (149469428).

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

114431020 is a wasteful number, since it uses less digits than its factorization.

114431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3488 counting only the distinct ones).

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

The square root of 114431020 is about 10697.2435701913. The cubic root of 114431020 is about 485.4910815774.

Adding to 114431020 its reverse (20134411), we get a palindrome (134565431).

It can be divided in two parts, 114 and 431020, that added together give a palindrome (431134).

The spelling of 114431020 in words is "one hundred fourteen million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3313 3454 6626 6908 8635 13252 16565 17270 33130 34540 36443 66260 72886 145772 182215 364430 520141 728860 1040282 2080564 2600705 5201410 5721551 10402820 11443102 22886204 28607755 57215510 114431020