Search a number
-
+
114546744 = 233313192113
BaseRepresentation
bin1101101001111…
…01100000111000
321222112120121000
412310331200320
5213310443434
615211045000
72560426344
oct664754070
9258476530
10114546744
1159727734
1232440760
131a967a50
14112da624
15a0c9b99
hex6d3d838

114546744 has 192 divisors, whose sum is σ = 364845600. Its totient is φ = 33094656.

The previous prime is 114546737. The next prime is 114546769. The reversal of 114546744 is 447645411.

It is a happy number.

It is a super-2 number, since 2×1145467442 = 26241913122003072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114546699 and 114546708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013632 + ... + 1013744.

Almost surely, 2114546744 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 114546744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

114546744 is an abundant number, since it is smaller than the sum of its proper divisors (250298856).

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

114546744 is a wasteful number, since it uses less digits than its factorization.

114546744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 114546744 is about 10702.6512603186. The cubic root of 114546744 is about 485.6546853546.

The spelling of 114546744 in words is "one hundred fourteen million, five hundred forty-six thousand, seven hundred forty-four".