Base | Representation |
---|---|
bin | 111110100111… |
… | …010000000000 |
3 | 1010212220100200 |
4 | 332213100000 |
5 | 13200214241 |
6 | 1343445200 |
7 | 256341225 |
oct | 76472000 |
9 | 33786320 |
10 | 16413696 |
11 | 92a0942 |
12 | 55b6800 |
13 | 3528c60 |
14 | 227394c |
15 | 16934b6 |
hex | fa7400 |
16413696 has 132 divisors (see below), whose sum is σ = 51412452. Its totient is φ = 5013504.
The previous prime is 16413673. The next prime is 16413707. The reversal of 16413696 is 69631461.
16413696 is a `hidden beast` number, since 1 + 641 + 3 + 6 + 9 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 10653696 = 2400^2 + 3264^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 16413696.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119740 + ... + 119876.
Almost surely, 216413696 is an apocalyptic number.
16413696 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 16413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25706226).
16413696 is an abundant number, since it is smaller than the sum of its proper divisors (34998756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16413696 is a wasteful number, since it uses less digits than its factorization.
16413696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 176 (or 155 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
The square root of 16413696 is about 4051.3819864338. The cubic root of 16413696 is about 254.1375244679.
The spelling of 16413696 in words is "sixteen million, four hundred thirteen thousand, six hundred ninety-six".
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