Base | Representation |
---|---|
bin | 10000001111010… |
… | …01000010100000 |
3 | 100111022201212000 |
4 | 20013221002200 |
5 | 234333031312 |
6 | 21303404000 |
7 | 3242600166 |
oct | 1007510240 |
9 | 314281760 |
10 | 136220832 |
11 | 6a990800 |
12 | 39753600 |
13 | 222b6157 |
14 | 1413d236 |
15 | be5badc |
hex | 81e90a0 |
136220832 has 144 divisors (see below), whose sum is σ = 437048640. Its totient is φ = 41247360.
The previous prime is 136220831. The next prime is 136220933. The reversal of 136220832 is 238022631.
136220832 is a `hidden beast` number, since 1 + 3 + 622 + 0 + 8 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1362208322 = 37112230141544448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 136220796 and 136220805.
It is not an unprimeable number, because it can be changed into a prime (136220831) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103893 + ... + 105195.
It is an arithmetic number, because the mean of its divisors is an integer number (3035060).
Almost surely, 2136220832 is an apocalyptic number.
136220832 is a gapful number since it is divisible by the number (12) 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 136220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218524320).
136220832 is an abundant number, since it is smaller than the sum of its proper divisors (300827808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136220832 is a wasteful number, since it uses less digits than its factorization.
136220832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1344 (or 1319 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 136220832 is about 11671.3680432073. The cubic root of 136220832 is about 514.5345113655.
The spelling of 136220832 in words is "one hundred thirty-six million, two hundred twenty thousand, eight hundred thirty-two".
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