Search a number
-
+
114994080 = 2534519467
BaseRepresentation
bin1101101101010…
…10101110100000
322000101022020000
412312222232200
5213414302310
615224420000
72564301465
oct666525640
9260338200
10114994080
1159a02833
1232617600
131aa93546
14113b566c
15a1674c0
hex6daaba0

114994080 has 240 divisors, whose sum is σ = 428107680. Its totient is φ = 28988928.

The previous prime is 114994073. The next prime is 114994081. The reversal of 114994080 is 80499411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114994081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246007 + ... + 246473.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782).

Almost surely, 2114994080 is an apocalyptic number.

114994080 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 114994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

114994080 is an abundant number, since it is smaller than the sum of its proper divisors (313113600).

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

114994080 is a wasteful number, since it uses less digits than its factorization.

114994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114994080 is about 10723.5292697880. The cubic root of 114994080 is about 486.2860684360.

The spelling of 114994080 in words is "one hundred fourteen million, nine hundred ninety-four thousand, eighty".