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114630000 = 243543821
BaseRepresentation
bin1101101010100…
…01110101110000
321222200210210120
412311101311300
5213321130000
615212530240
72561224152
oct665216560
9258623716
10114630000
1159784241
1232480980
131a996904
141131cad2
15a0e46a0
hex6d51d70

114630000 has 100 divisors (see below), whose sum is σ = 370137768. Its totient is φ = 30560000.

The previous prime is 114629981. The next prime is 114630001. The reversal of 114630000 is 36411.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114630001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28090 + ... + 31910.

Almost surely, 2114630000 is an apocalyptic number.

114630000 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 114630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068884).

114630000 is an abundant number, since it is smaller than the sum of its proper divisors (255507768).

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

114630000 is an equidigital number, since it uses as much as digits as its factorization.

114630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114630000 is about 10706.5400573668. The cubic root of 114630000 is about 485.7723196434.

Adding to 114630000 its reverse (36411), we get a palindrome (114666411).

The spelling of 114630000 in words is "one hundred fourteen million, six hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 3821 5000 6000 7500 7642 10000 11463 15000 15284 19105 22926 30000 30568 38210 45852 57315 61136 76420 91704 95525 114630 152840 183408 191050 229260 286575 305680 382100 458520 477625 573150 764200 917040 955250 1146300 1432875 1528400 1910500 2292600 2388125 2865750 3821000 4585200 4776250 5731500 7164375 7642000 9552500 11463000 14328750 19105000 22926000 28657500 38210000 57315000 114630000