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114992460 = 2237511239
BaseRepresentation
bin1101101101010…
…10010101001100
322000101020000000
412312222111030
5213414224320
615224404300
72564263662
oct666522514
9260336000
10114992460
1159a015a0
1232616690
131aa9289b
14113b4c32
15a166c90
hex6daa54c

114992460 has 192 divisors, whose sum is σ = 396748800. Its totient is φ = 27760320.

The previous prime is 114992443. The next prime is 114992461. The reversal of 114992460 is 64299411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114992461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481021 + ... + 481259.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 2114992460 is an apocalyptic number.

114992460 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 114992460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

114992460 is an abundant number, since it is smaller than the sum of its proper divisors (281756340).

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

114992460 is a wasteful number, since it uses less digits than its factorization.

114992460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 114992460 is about 10723.4537346883. The cubic root of 114992460 is about 486.2837848775.

The spelling of 114992460 in words is "one hundred fourteen million, nine hundred ninety-two thousand, four hundred sixty".