Search a number
-
+
114333830 = 251319411129
BaseRepresentation
bin1101101000010…
…01100010000110
321222010202112022
412310021202012
5213232140310
615202323142
72555551532
oct664114206
9258122468
10114333830
11595a1776
12323594b2
131a8c1b70
1411282bc2
15a086a55
hex6d09886

114333830 has 64 divisors (see below), whose sum is σ = 239198400. Its totient is φ = 38983680.

The previous prime is 114333827. The next prime is 114333833. The reversal of 114333830 is 38333411.

It is an interprime number because it is at equal distance from previous prime (114333827) and next prime (114333833).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114333830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114333833) 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 31 ways as a sum of consecutive naturals, for example, 100706 + ... + 101834.

It is an arithmetic number, because the mean of its divisors is an integer number (3737475).

Almost surely, 2114333830 is an apocalyptic number.

114333830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114333830 is an abundant number, since it is smaller than the sum of its proper divisors (124864570).

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

114333830 is a wasteful number, since it uses less digits than its factorization.

114333830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 114333830 is about 10692.6998461567. The cubic root of 114333830 is about 485.3535948392.

The spelling of 114333830 in words is "one hundred fourteen million, three hundred thirty-three thousand, eight hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 41 65 82 95 130 190 205 247 410 494 533 779 1066 1129 1235 1558 2258 2470 2665 3895 5330 5645 7790 10127 11290 14677 20254 21451 29354 42902 46289 50635 73385 92578 101270 107255 146770 214510 231445 278863 462890 557726 601757 879491 1203514 1394315 1758982 2788630 3008785 4397455 6017570 8794910 11433383 22866766 57166915 114333830