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114031500 = 22353116911
BaseRepresentation
bin1101100101111…
…11101110001100
321221120101210220
412302333232030
5213143002000
615152031340
72553152232
oct662775614
9257511726
10114031500
1159405610
1232232550
131a81737b
1411204952
15a0271a0
hex6cbfb8c

114031500 has 96 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 27640000.

The previous prime is 114031499. The next prime is 114031513. The reversal of 114031500 is 5130411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114031500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13045 + ... + 19955.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2114031500 is an apocalyptic number.

114031500 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 114031500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

114031500 is an abundant number, since it is smaller than the sum of its proper divisors (248267892).

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

114031500 is a wasteful number, since it uses less digits than its factorization.

114031500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 114031500 is about 10678.5532727987. The cubic root of 114031500 is about 484.9254145411.

Adding to 114031500 its reverse (5130411), we get a palindrome (119161911).

It can be divided in two parts, 1140 and 31500, that added together give a triangular number (32640 = T255).

The spelling of 114031500 in words is "one hundred fourteen million, thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 6911 8250 13822 16500 20733 27644 34555 41466 69110 76021 82932 103665 138220 152042 172775 207330 228063 304084 345550 380105 414660 456126 518325 691100 760210 863875 912252 1036650 1140315 1520420 1727750 1900525 2073300 2280630 2591625 3455500 3801050 4561260 5183250 5701575 7602100 9502625 10366500 11403150 19005250 22806300 28507875 38010500 57015750 114031500