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114267020 = 2257316657
BaseRepresentation
bin1101100111110…
…01001110001100
321222000100212212
412303321032030
5213223021040
615201045552
72555153000
oct663711614
9258010785
10114267020
115955655a
12323268b8
131a89a62a
1411266700
15a071d65
hex6cf938c

114267020 has 48 divisors (see below), whose sum is σ = 279854400. Its totient is φ = 39174912.

The previous prime is 114266987. The next prime is 114267029. The reversal of 114267020 is 20762411.

It is not an unprimeable number, because it can be changed into a prime (114267029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (5830300).

Almost surely, 2114267020 is an apocalyptic number.

114267020 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 114267020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139927200).

114267020 is an abundant number, since it is smaller than the sum of its proper divisors (165587380).

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

114267020 is a wasteful number, since it uses less digits than its factorization.

114267020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 114267020 is about 10689.5752955859. The cubic root of 114267020 is about 485.2590390057.

The spelling of 114267020 in words is "one hundred fourteen million, two hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 16657 33314 66628 83285 116599 166570 233198 333140 466396 582995 816193 1165990 1632386 2331980 3264772 4080965 5713351 8161930 11426702 16323860 22853404 28566755 57133510 114267020