Base | Representation |
---|---|
bin | 11110100100011001000000 |
3 | 120002010021201 |
4 | 132210121000 |
5 | 4022412001 |
6 | 443430544 |
7 | 125053420 |
oct | 36443100 |
9 | 16063251 |
10 | 8013376 |
11 | 4583628 |
12 | 2825454 |
13 | 1877557 |
14 | 10c8480 |
15 | a84501 |
hex | 7a4640 |
8013376 has 56 divisors (see below), whose sum is σ = 18791936. Its totient is φ = 3317760.
The previous prime is 8013373. The next prime is 8013377. The reversal of 8013376 is 6733108.
It is a tau number, because it is divible by the number of its divisors (56).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8013371) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13600 + ... + 14176.
Almost surely, 28013376 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395968).
8013376 is an abundant number, since it is smaller than the sum of its proper divisors (10778560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8013376 is a wasteful number, since it uses less digits than its factorization.
8013376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 627 (or 617 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 28.
The square root of 8013376 is about 2830.7907022597. The cubic root of 8013376 is about 200.1114046002. Note that the first 3 decimals are identical.
It can be divided in two parts, 80 and 13376, that added together give a square (13456 = 1162).
The spelling of 8013376 in words is "eight million, thirteen thousand, three hundred seventy-six".
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