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114002724 = 223111575501
BaseRepresentation
bin1101100101110…
…00101100100100
321221111221100010
412302320230210
5213141041344
615151250220
72553002313
oct662705444
9257457303
10114002724
1159395a30
1232219970
131a807244
14111d827a
15a01d8b9
hex6cb8b24

114002724 has 48 divisors (see below), whose sum is σ = 292090176. Its totient is φ = 34320000.

The previous prime is 114002723. The next prime is 114002737. The reversal of 114002724 is 427200411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114002724.

It is not an unprimeable number, because it can be changed into a prime (114002723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17974 + ... + 23474.

It is an arithmetic number, because the mean of its divisors is an integer number (6085212).

Almost surely, 2114002724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114002724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146045088).

114002724 is an abundant number, since it is smaller than the sum of its proper divisors (178087452).

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

114002724 is a wasteful number, since it uses less digits than its factorization.

114002724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 114002724 is about 10677.2058142568. The cubic root of 114002724 is about 484.8846205859.

The spelling of 114002724 in words is "one hundred fourteen million, two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 5501 6908 10362 11002 16503 20724 22004 33006 60511 66012 121022 181533 242044 363066 726132 863657 1727314 2590971 3454628 5181942 9500227 10363884 19000454 28500681 38000908 57001362 114002724