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114264 = 2333232
BaseRepresentation
bin11011111001011000
312210202000
4123321120
512124024
62241000
7654063
oct337130
9183660
10114264
1178937
1256160
1340017
142d8da
1523cc9
hex1be58

114264 has 48 divisors (see below), whose sum is σ = 331800. Its totient is φ = 36432.

The previous prime is 114259. The next prime is 114269. The reversal of 114264 is 462411.

114264 = T165 + T166 + ... + T172.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (114259) and next prime (114269).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114269) by changing a digit.

114264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4957 + ... + 4979.

2114264 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 114264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165900).

114264 is an abundant number, since it is smaller than the sum of its proper divisors (217536).

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

114264 is a wasteful number, since it uses less digits than its factorization.

114264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 114264 is about 338.0295845041. The cubic root of 114264 is about 48.5254763945.

Adding to 114264 its reverse (462411), we get a palindrome (576675).

It can be divided in two parts, 114 and 264, that added together give a triangular number (378 = T27).

The spelling of 114264 in words is "one hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 529 552 621 828 1058 1242 1587 1656 2116 2484 3174 4232 4761 4968 6348 9522 12696 14283 19044 28566 38088 57132 114264