Base | Representation |
---|---|
bin | 10110110010001… |
… | …10111101100000 |
3 | 111022122111010000 |
4 | 23121012331200 |
5 | 342412201423 |
6 | 30544340000 |
7 | 4510406442 |
oct | 1331067540 |
9 | 438574100 |
10 | 191131488 |
11 | 98985a09 |
12 | 54014600 |
13 | 307a0772 |
14 | 1b554492 |
15 | 11ba6843 |
hex | b646f60 |
191131488 has 120 divisors (see below), whose sum is σ = 591849720. Its totient is φ = 60341760.
The previous prime is 191131441. The next prime is 191131519. The reversal of 191131488 is 884131191.
191131488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47308 + ... + 51188.
It is an arithmetic number, because the mean of its divisors is an integer number (4932081).
Almost surely, 2191131488 is an apocalyptic number.
191131488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 191131488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295924860).
191131488 is an abundant number, since it is smaller than the sum of its proper divisors (400718232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
191131488 is a wasteful number, since it uses less digits than its factorization.
191131488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3922 (or 3905 counting only the distinct ones).
The product of its digits is 6912, while the sum is 36.
The square root of 191131488 is about 13825.0312115380. The cubic root of 191131488 is about 576.0286444088.
The spelling of 191131488 in words is "one hundred ninety-one million, one hundred thirty-one thousand, four hundred eighty-eight".
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