Base | Representation |
---|---|
bin | 10110011101000… |
… | …11000110000000 |
3 | 111010102211122110 |
4 | 23032203012000 |
5 | 341210110021 |
6 | 30405135320 |
7 | 4445026443 |
oct | 1316430600 |
9 | 433384573 |
10 | 188363136 |
11 | 97365015 |
12 | 530ba540 |
13 | 300416a0 |
14 | 1b03365a |
15 | 1180b476 |
hex | b3a3180 |
188363136 has 128 divisors (see below), whose sum is σ = 545781600. Its totient is φ = 57212928.
The previous prime is 188363129. The next prime is 188363137. The reversal of 188363136 is 631363881.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 188363094 and 188363103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (188363137) 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 15 ways as a sum of consecutive naturals, for example, 484030 + ... + 484418.
Almost surely, 2188363136 is an apocalyptic number.
188363136 is a gapful number since it is divisible by the number (16) 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 188363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272890800).
188363136 is an abundant number, since it is smaller than the sum of its proper divisors (357418464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
188363136 is a wasteful number, since it uses less digits than its factorization.
188363136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 516 (or 504 counting only the distinct ones).
The product of its digits is 62208, while the sum is 39.
The square root of 188363136 is about 13724.5450197812. The cubic root of 188363136 is about 573.2340384499.
The spelling of 188363136 in words is "one hundred eighty-eight million, three hundred sixty-three thousand, one hundred thirty-six".
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