Base | Representation |
---|---|
bin | 1111111010000… |
… | …11011100000000 |
3 | 100022002201122100 |
4 | 13331003130000 |
5 | 233130223001 |
6 | 21124110400 |
7 | 3210160401 |
oct | 775033400 |
9 | 308081570 |
10 | 133445376 |
11 | 69365539 |
12 | 38835400 |
13 | 21853a7c |
14 | 13a199a8 |
15 | baae586 |
hex | 7f43700 |
133445376 has 108 divisors (see below), whose sum is σ = 407508192. Its totient is φ = 41852928.
The previous prime is 133445363. The next prime is 133445381. The reversal of 133445376 is 673544331.
133445376 is a `hidden beast` number, since 133 + 4 + 453 + 76 = 666.
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 133445376.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37465 + ... + 40871.
It is an arithmetic number, because the mean of its divisors is an integer number (3773224).
Almost surely, 2133445376 is an apocalyptic number.
133445376 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 133445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203754096).
133445376 is an abundant number, since it is smaller than the sum of its proper divisors (274062816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133445376 is a wasteful number, since it uses less digits than its factorization.
133445376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3446 (or 3429 counting only the distinct ones).
The product of its digits is 90720, while the sum is 36.
The square root of 133445376 is about 11551.8559547806. The cubic root of 133445376 is about 511.0160137853.
The spelling of 133445376 in words is "one hundred thirty-three million, four hundred forty-five thousand, three hundred seventy-six".
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