Search a number
-
+
114231260 = 225112133631
BaseRepresentation
bin1101100111100…
…00011111011100
321221221112211102
412303300133130
5213220400020
615200212232
72554643513
oct663603734
9257845742
10114231260
1159531700
123230a078
131a887280
141125767a
15a066475
hex6cf07dc

114231260 has 72 divisors (see below), whose sum is σ = 284036928. Its totient is φ = 38332800.

The previous prime is 114231259. The next prime is 114231301. The reversal of 114231260 is 62132411.

It is a super-2 number, since 2×1142312602 = 26097561522375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29645 + ... + 33275.

Almost surely, 2114231260 is an apocalyptic number.

114231260 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 114231260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142018464).

114231260 is an abundant number, since it is smaller than the sum of its proper divisors (169805668).

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

114231260 is a wasteful number, since it uses less digits than its factorization.

114231260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 114231260 is about 10687.9025070404. The cubic root of 114231260 is about 485.2084129261.

Adding to 114231260 its reverse (62132411), we get a palindrome (176363671).

The spelling of 114231260 in words is "one hundred fourteen million, two hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 3631 6292 7262 7865 14524 15730 18155 31460 36310 39941 47203 72620 79882 94406 159764 188812 199705 236015 399410 439351 472030 519233 798820 878702 944060 1038466 1757404 2076932 2196755 2596165 4393510 5192330 5711563 8787020 10384660 11423126 22846252 28557815 57115630 114231260