Base | Representation |
---|---|
bin | 111011110101… |
… | …0110000000000 |
3 | 2012000202212202 |
4 | 1313222300000 |
5 | 31012321430 |
6 | 3040212332 |
7 | 530433266 |
oct | 167526000 |
9 | 65022782 |
10 | 31370240 |
11 | 16786a20 |
12 | a60a0a8 |
13 | 6664895 |
14 | 4248436 |
15 | 2b49d45 |
hex | 1deac00 |
31370240 has 88 divisors (see below), whose sum is σ = 82240272. Its totient is φ = 11386880.
The previous prime is 31370239. The next prime is 31370249. The reversal of 31370240 is 4207313.
It is a tau number, because it is divible by the number of its divisors (88).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (31370249) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56042 + ... + 56598.
Almost surely, 231370240 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 31370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41120136).
31370240 is an abundant number, since it is smaller than the sum of its proper divisors (50870032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31370240 is a wasteful number, since it uses less digits than its factorization.
31370240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 593 (or 575 counting only the distinct ones).
The product of its (nonzero) digits is 504, while the sum is 20.
The square root of 31370240 is about 5600.9142110909. The cubic root of 31370240 is about 315.3837265339.
Adding to 31370240 its reverse (4207313), we get a palindrome (35577553).
The spelling of 31370240 in words is "thirty-one million, three hundred seventy thousand, two hundred forty".
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