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114040300 = 225211432411
BaseRepresentation
bin1101100110000…
…01110111101100
321221120211212211
412303001313230
5213143242200
615152140204
72553220003
oct663016754
9257524784
10114040300
1159411190
1232237664
131a81b38a
1411207c3a
15a029aba
hex6cc1dec

114040300 has 72 divisors (see below), whose sum is σ = 276357312. Its totient is φ = 40488000.

The previous prime is 114040249. The next prime is 114040309. The reversal of 114040300 is 3040411.

It is not an unprimeable number, because it can be changed into a prime (114040309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46095 + ... + 48505.

It is an arithmetic number, because the mean of its divisors is an integer number (3838296).

Almost surely, 2114040300 is an apocalyptic number.

114040300 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 114040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138178656).

114040300 is an abundant number, since it is smaller than the sum of its proper divisors (162317012).

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

114040300 is a wasteful number, since it uses less digits than its factorization.

114040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 114040300 is about 10678.9653056839. The cubic root of 114040300 is about 484.9378883864.

Adding to 114040300 its reverse (3040411), we get a palindrome (117080711).

The spelling of 114040300 in words is "one hundred fourteen million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 2411 4300 4730 4822 9460 9644 11825 12055 23650 24110 26521 47300 48220 53042 60275 103673 106084 120550 132605 207346 241100 265210 414692 518365 530420 663025 1036730 1140403 1326050 2073460 2280806 2591825 2652100 4561612 5183650 5702015 10367300 11404030 22808060 28510075 57020150 114040300