Search a number
-
+
114276000 = 2535389107
BaseRepresentation
bin1101100111110…
…11011010100000
321222000211012110
412303323122200
5213223313000
615201155320
72555221116
oct663733240
9258024173
10114276000
1159562283
123232bb40
131a8a1747
1411269ab6
15a074850
hex6cfb6a0

114276000 has 192 divisors, whose sum is σ = 382112640. Its totient is φ = 29849600.

The previous prime is 114275999. The next prime is 114276031. The reversal of 114276000 is 672411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067947 + ... + 1068053.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2114276000 is an apocalyptic number.

114276000 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 114276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

114276000 is an abundant number, since it is smaller than the sum of its proper divisors (267836640).

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

114276000 is a wasteful number, since it uses less digits than its factorization.

114276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114276000 is about 10689.9953227305. The cubic root of 114276000 is about 485.2717504951.

The spelling of 114276000 in words is "one hundred fourteen million, two hundred seventy-six thousand".