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114314130 = 23257421431
BaseRepresentation
bin1101101000001…
…00101110010010
321222002202111200
412310010232102
5213231023010
615202052030
72555440230
oct664045622
9258082450
10114314130
1159588997
123234a016
131a8b5bc8
1411279950
15a080cc0
hex6d04b92

114314130 has 96 divisors (see below), whose sum is σ = 341273088. Its totient is φ = 26006400.

The previous prime is 114314119. The next prime is 114314149. The reversal of 114314130 is 31413411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265015 + ... + 265445.

It is an arithmetic number, because the mean of its divisors is an integer number (3554928).

Almost surely, 2114314130 is an apocalyptic number.

114314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170636544).

114314130 is an abundant number, since it is smaller than the sum of its proper divisors (226958958).

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

114314130 is a wasteful number, since it uses less digits than its factorization.

114314130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114314130 is about 10691.7786172367. The cubic root of 114314130 is about 485.3257173655.

Adding to 114314130 its reverse (31413411), we get a palindrome (145727541).

The spelling of 114314130 in words is "one hundred fourteen million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 421 431 630 842 862 1263 1293 2105 2155 2526 2586 2947 3017 3789 3879 4210 4310 5894 6034 6315 6465 7578 7758 8841 9051 12630 12930 14735 15085 17682 18102 18945 19395 26523 27153 29470 30170 37890 38790 44205 45255 53046 54306 88410 90510 132615 135765 181451 265230 271530 362902 544353 907255 1088706 1270157 1633059 1814510 2540314 2721765 3266118 3810471 5443530 6350785 7620942 8165295 11431413 12701570 16330590 19052355 22862826 38104710 57157065 114314130