Base | Representation |
---|---|
bin | 1111101001001… |
… | …10001101000000 |
3 | 100010221002122002 |
4 | 13310212031000 |
5 | 232043302410 |
6 | 21004403132 |
7 | 3152265215 |
oct | 764461500 |
9 | 303832562 |
10 | 131228480 |
11 | 68090999 |
12 | 37b464a8 |
13 | 212589b6 |
14 | 135ddb0c |
15 | b7c27a5 |
hex | 7d26340 |
131228480 has 112 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 49760256.
The previous prime is 131228443. The next prime is 131228527. The reversal of 131228480 is 84822131.
It is a super-2 number, since 2×1312284802 = 34441827926220800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (29).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733031 + ... + 733209.
Almost surely, 2131228480 is an apocalyptic number.
131228480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a pronic number, being equal to 11455×11456.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).
131228480 is an abundant number, since it is smaller than the sum of its proper divisors (197955520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131228480 is a wasteful number, since it uses less digits than its factorization.
131228480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 29.
The square root of 131228480 is about 11455.4999890882. The cubic root of 131228480 is about 508.1704018422.
It can be divided in two parts, 1312 and 28480, that added together give a palindrome (29792).
The spelling of 131228480 in words is "one hundred thirty-one million, two hundred twenty-eight thousand, four hundred eighty".
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