Base | Representation |
---|---|
bin | 10000001001011… |
… | …01111110010000 |
3 | 100102212210210100 |
4 | 20010231332100 |
5 | 234134021413 |
6 | 21235132400 |
7 | 3233226252 |
oct | 1004557620 |
9 | 312783710 |
10 | 135454608 |
11 | 6a508063 |
12 | 39444100 |
13 | 220a8473 |
14 | 13dbdcd2 |
15 | bd59a73 |
hex | 812df90 |
135454608 has 60 divisors (see below), whose sum is σ = 381252508. Its totient is φ = 44893440.
The previous prime is 135454607. The next prime is 135454633. The reversal of 135454608 is 806454531.
It is a happy number.
135454608 is a `hidden beast` number, since 1 + 3 + 5 + 45 + 4 + 608 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 112529664 = 4788^2 + 10608^2 .
It is a super-3 number, since 3×1354546083 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (135454603) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23466 + ... + 28662.
Almost surely, 2135454608 is an apocalyptic number.
135454608 is a gapful number since it is divisible by the number (18) 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 135454608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190626254).
135454608 is an abundant number, since it is smaller than the sum of its proper divisors (245797900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135454608 is a wasteful number, since it uses less digits than its factorization.
135454608 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5392 (or 5383 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The square root of 135454608 is about 11638.4968101555. The cubic root of 135454608 is about 513.5679675483.
The spelling of 135454608 in words is "one hundred thirty-five million, four hundred fifty-four thousand, six hundred eight".
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