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114060000 = 253541901
BaseRepresentation
bin1101100110001…
…10101011100000
321221121211220110
412303012223200
5213144410000
615152411320
72553331305
oct663065340
9257554813
10114060000
1159424a6a
1232246b40
131a827332
14112110ac
15a030850
hex6cc6ae0

114060000 has 120 divisors (see below), whose sum is σ = 374336424. Its totient is φ = 30400000.

The previous prime is 114059977. The next prime is 114060019. The reversal of 114060000 is 60411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59050 + ... + 60950.

Almost surely, 2114060000 is an apocalyptic number.

114060000 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 114060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187168212).

114060000 is an abundant number, since it is smaller than the sum of its proper divisors (260276424).

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

114060000 is an equidigital number, since it uses as much as digits as its factorization.

114060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114060000 is about 10679.8876398584. The cubic root of 114060000 is about 484.9658104641.

The spelling of 114060000 in words is "one hundred fourteen million, sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 1901 2000 2400 2500 3000 3750 3802 4000 5000 5703 6000 7500 7604 9505 10000 11406 12000 15000 15208 19010 20000 22812 28515 30000 30416 38020 45624 47525 57030 60000 60832 76040 91248 95050 114060 142575 152080 182496 190100 228120 237625 285150 304160 380200 456240 475250 570300 712875 760400 912480 950500 1140600 1188125 1425750 1520800 1901000 2281200 2376250 2851500 3564375 3802000 4562400 4752500 5703000 7128750 7604000 9505000 11406000 14257500 19010000 22812000 28515000 38020000 57030000 114060000