Base | Representation |
---|---|
bin | 10000001110011… |
… | …01001110100100 |
3 | 100111002221120220 |
4 | 20013031032210 |
5 | 234320410131 |
6 | 21301124340 |
7 | 3241614111 |
oct | 1007151644 |
9 | 314087526 |
10 | 136106916 |
11 | 6a913160 |
12 | 396b96b0 |
13 | 2227634a |
14 | 1410d908 |
15 | be37e96 |
hex | 81cd3a4 |
136106916 has 96 divisors (see below), whose sum is σ = 365395968. Its totient is φ = 39029760.
The previous prime is 136106909. The next prime is 136106941. The reversal of 136106916 is 619601631.
136106916 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
136106916 is strictly pandigital in base 9.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385396 + ... + 385748.
It is an arithmetic number, because the mean of its divisors is an integer number (3806208).
Almost surely, 2136106916 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 136106916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182697984).
136106916 is an abundant number, since it is smaller than the sum of its proper divisors (229289052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136106916 is a wasteful number, since it uses less digits than its factorization.
136106916 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 521 (or 519 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 33.
The square root of 136106916 is about 11666.4868748051. The cubic root of 136106916 is about 514.3910431972.
The spelling of 136106916 in words is "one hundred thirty-six million, one hundred six thousand, nine hundred sixteen".
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