Base | Representation |
---|---|
bin | 10010110010101… |
… | …011011110000000 |
3 | 210222020122011220 |
4 | 102302223132000 |
5 | 1121202301021 |
6 | 51141235040 |
7 | 10545536331 |
oct | 2262533600 |
9 | 728218156 |
10 | 315275136 |
11 | 151a67970 |
12 | 89702a80 |
13 | 50418747 |
14 | 2dc2c288 |
15 | 1ca29cc6 |
hex | 12cab780 |
315275136 has 128 divisors (see below), whose sum is σ = 923875200. Its totient is φ = 94464000.
The previous prime is 315275131. The next prime is 315275137. The reversal of 315275136 is 631572513.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×3152751362 = 198796822759636992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 315275097 and 315275106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (315275131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426255 + ... + 426993.
It is an arithmetic number, because the mean of its divisors is an integer number (7217775).
Almost surely, 2315275136 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 315275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461937600).
315275136 is an abundant number, since it is smaller than the sum of its proper divisors (608600064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315275136 is a wasteful number, since it uses less digits than its factorization.
315275136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 868 (or 856 counting only the distinct ones).
The product of its digits is 18900, while the sum is 33.
The square root of 315275136 is about 17755.9887361983. The cubic root of 315275136 is about 680.6072545484.
It can be divided in two parts, 31527 and 5136, that added together give a palindrome (36663).
The spelling of 315275136 in words is "three hundred fifteen million, two hundred seventy-five thousand, one hundred thirty-six".
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