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248136 = 23372211
BaseRepresentation
bin111100100101001000
3110121101020
4330211020
530420021
65152440
72052300
oct744510
9417336
10248136
1115a479
12bb720
1388c35
1466600
154d7c6
hex3c948

248136 has 48 divisors (see below), whose sum is σ = 725040. Its totient is φ = 70560.

The previous prime is 248119. The next prime is 248137. The reversal of 248136 is 631842.

Adding to 248136 its sum of digits (24), we get a triangular number (248160 = T704).

Adding to 248136 its reverse (631842), we get a palindrome (879978).

It is a happy number.

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 one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 12 and base 14.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248136.

It is not an unprimeable number, because it can be changed into a prime (248137) by changing a digit.

248136 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, 1071 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (15105).

2248136 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 248136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362520).

248136 is an abundant number, since it is smaller than the sum of its proper divisors (476904).

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

248136 is a wasteful number, since it uses less digits than its factorization.

248136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 248136 is about 498.1325124904. The cubic root of 248136 is about 62.8390955666.

The spelling of 248136 in words is "two hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 211 294 392 422 588 633 844 1176 1266 1477 1688 2532 2954 4431 5064 5908 8862 10339 11816 17724 20678 31017 35448 41356 62034 82712 124068 248136