Base | Representation |
---|---|
bin | 1111101011001… |
… | …11111011100000 |
3 | 100011102202221001 |
4 | 13311213323200 |
5 | 232130411241 |
6 | 21014241344 |
7 | 3154466131 |
oct | 765477340 |
9 | 304382831 |
10 | 131497696 |
11 | 68255190 |
12 | 38056254 |
13 | 213213b5 |
14 | 1366dc88 |
15 | b827431 |
hex | 7d67ee0 |
131497696 has 48 divisors (see below), whose sum is σ = 284135040. Its totient is φ = 59409280.
The previous prime is 131497679. The next prime is 131497699. The reversal of 131497696 is 696794131.
It is a happy number.
It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131497699) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61965 + ... + 64051.
It is an arithmetic number, because the mean of its divisors is an integer number (5919480).
Almost surely, 2131497696 is an apocalyptic number.
131497696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
131497696 is the 6130-th centered heptagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131497696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142067520).
131497696 is an abundant number, since it is smaller than the sum of its proper divisors (152637344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131497696 is a wasteful number, since it uses less digits than its factorization.
131497696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2287 (or 2279 counting only the distinct ones).
The product of its digits is 244944, while the sum is 46.
The square root of 131497696 is about 11467.2444815657. The cubic root of 131497696 is about 508.5176693345.
The spelling of 131497696 in words is "one hundred thirty-one million, four hundred ninety-seven thousand, six hundred ninety-six".
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