Search a number
-
+
1009416 = 233137307
BaseRepresentation
bin11110110011100001000
31220021122210
43312130020
5224300131
633345120
711402622
oct3663410
91807583
101009416
1162a431
124081a0
132945b5
141c3c12
1514e146
hexf6708

1009416 has 32 divisors (see below), whose sum is σ = 2550240. Its totient is φ = 332928.

The previous prime is 1009399. The next prime is 1009417. The reversal of 1009416 is 6149001.

1009416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10094162 = 2037841322112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1009392 and 1009401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009417) 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, 3135 + ... + 3441.

It is an arithmetic number, because the mean of its divisors is an integer number (79695).

21009416 is an apocalyptic number.

It is an amenable number.

1009416 is an abundant number, since it is smaller than the sum of its proper divisors (1540824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009416 is a wasteful number, since it uses less digits than its factorization.

1009416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1009416 is about 1004.6969692400. The cubic root of 1009416 is about 100.3128866650.

The spelling of 1009416 in words is "one million, nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 137 274 307 411 548 614 822 921 1096 1228 1644 1842 2456 3288 3684 7368 42059 84118 126177 168236 252354 336472 504708 1009416