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114648 = 23317281
BaseRepresentation
bin11011111111011000
312211021020
4123333120
512132043
62242440
7655152
oct337730
9184236
10114648
1179156
1256420
1340251
1523e83
hex1bfd8

114648 has 32 divisors (see below), whose sum is σ = 304560. Its totient is φ = 35840.

The previous prime is 114643. The next prime is 114649. The reversal of 114648 is 846411.

114648 is nontrivially palindromic in base 14.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114648.

It is not an unprimeable number, because it can be changed into a prime (114641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268 + ... + 548.

2114648 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 114648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152280).

114648 is an abundant number, since it is smaller than the sum of its proper divisors (189912).

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

114648 is a wasteful number, since it uses less digits than its factorization.

114648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 114648 is about 338.5971057171. The cubic root of 114648 is about 48.5797744762.

The spelling of 114648 in words is "one hundred fourteen thousand, six hundred forty-eight".