Search a number
-
+
114630300 = 223252671901
BaseRepresentation
bin1101101010100…
…01111010011100
321222200211012200
412311101322130
5213321132200
615212531500
72561225061
oct665217234
9258624180
10114630300
1159784494
1232480b90
131a996aa5
141131cc68
15a0e4800
hex6d51e9c

114630300 has 108 divisors (see below), whose sum is σ = 364856856. Its totient is φ = 30096000.

The previous prime is 114630289. The next prime is 114630311. The reversal of 114630300 is 3036411.

114630300 is a `hidden beast` number, since 1 + 1 + 4 + 630 + 30 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114630289) and next prime (114630311).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59350 + ... + 61250.

Almost surely, 2114630300 is an apocalyptic number.

114630300 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 114630300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182428428).

114630300 is an abundant number, since it is smaller than the sum of its proper divisors (250226556).

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

114630300 is a wasteful number, since it uses less digits than its factorization.

114630300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 114630300 is about 10706.5540674860. The cubic root of 114630300 is about 485.7727434172.

Adding to 114630300 its reverse (3036411), we get a palindrome (117666711).

The spelling of 114630300 in words is "one hundred fourteen million, six hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 402 450 603 670 804 900 1005 1206 1340 1675 1901 2010 2412 3015 3350 3802 4020 5025 5703 6030 6700 7604 9505 10050 11406 12060 15075 17109 19010 20100 22812 28515 30150 34218 38020 47525 57030 60300 68436 85545 95050 114060 127367 142575 171090 190100 254734 285150 342180 382101 427725 509468 570300 636835 764202 855450 1146303 1273670 1528404 1710900 1910505 2292606 2547340 3184175 3821010 4585212 5731515 6368350 7642020 9552525 11463030 12736700 19105050 22926060 28657575 38210100 57315150 114630300