Base | Representation |
---|---|
bin | 10000001011010… |
… | …11000000000000 |
3 | 100110100111200102 |
4 | 20011223000000 |
5 | 234220021301 |
6 | 21244341532 |
7 | 3235320110 |
oct | 1005530000 |
9 | 313314612 |
10 | 135704576 |
11 | 6a668947 |
12 | 395448a8 |
13 | 22165187 |
14 | 14047040 |
15 | bda8b6b |
hex | 816b000 |
135704576 has 52 divisors (see below), whose sum is σ = 310209552. Its totient is φ = 58146816.
The previous prime is 135704573. The next prime is 135704609. The reversal of 135704576 is 675407531.
It is a pancake number, because a pancake can be divided into 135704576 parts by 16474 straight cuts.
It is not an unprimeable number, because it can be changed into a prime (135704573) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26306 + ... + 31038.
Almost surely, 2135704576 is an apocalyptic number.
135704576 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 135704576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155104776).
135704576 is an abundant number, since it is smaller than the sum of its proper divisors (174504976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135704576 is an frugal number, since it uses more digits than its factorization.
135704576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4764 (or 4742 counting only the distinct ones).
The product of its (nonzero) digits is 88200, while the sum is 38.
The square root of 135704576 is about 11649.2307042139. The cubic root of 135704576 is about 513.8836862784.
The spelling of 135704576 in words is "one hundred thirty-five million, seven hundred four thousand, five hundred seventy-six".
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