Base | Representation |
---|---|
bin | 101000011011000… |
… | …0000100000100000 |
3 | 10111112011222000200 |
4 | 1100312000200200 |
5 | 10234210211021 |
6 | 342330545200 |
7 | 45416441562 |
oct | 12066004040 |
9 | 3445158020 |
10 | 1356335136 |
11 | 636685732 |
12 | 31a298200 |
13 | 188000a90 |
14 | cc1c7332 |
15 | 7e11c126 |
hex | 50d80820 |
1356335136 has 144 divisors (see below), whose sum is σ = 4216552704. Its totient is φ = 411028992.
The previous prime is 1356335119. The next prime is 1356335147. The reversal of 1356335136 is 6315336531.
1356335136 is a `hidden beast` number, since 1 + 3 + 5 + 633 + 5 + 13 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×13563351362 = 3679290002296276992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1356335136.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248145 + ... + 253551.
It is an arithmetic number, because the mean of its divisors is an integer number (29281616).
Almost surely, 21356335136 is an apocalyptic number.
1356335136 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 1356335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108276352).
1356335136 is an abundant number, since it is smaller than the sum of its proper divisors (2860217568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1356335136 is a wasteful number, since it uses less digits than its factorization.
1356335136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5503 (or 5492 counting only the distinct ones).
The product of its digits is 72900, while the sum is 36.
The square root of 1356335136 is about 36828.4555201545. The cubic root of 1356335136 is about 1106.9355553781.
The spelling of 1356335136 in words is "one billion, three hundred fifty-six million, three hundred thirty-five thousand, one hundred thirty-six".
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