Search a number
-
+
7162112 = 28101277
BaseRepresentation
bin11011010100100100000000
3111110212120102
4123110210000
53313141422
6413301532
7114606536
oct33244400
914425512
107162112
114052001
1224948a8
131639c49
14d46156
15967192
hex6d4900

7162112 has 36 divisors (see below), whose sum is σ = 14489916. Its totient is φ = 3532800.

The previous prime is 7162109. The next prime is 7162171. The reversal of 7162112 is 2112617.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 2768896 = 2096^2 + 1664^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25718 + ... + 25994.

Almost surely, 27162112 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 7162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244958).

7162112 is an abundant number, since it is smaller than the sum of its proper divisors (7327804).

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

7162112 is a wasteful number, since it uses less digits than its factorization.

7162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 7162112 is about 2676.2122486828. The cubic root of 7162112 is about 192.7585730796.

Adding to 7162112 its reverse (2112617), we get a palindrome (9274729).

The spelling of 7162112 in words is "seven million, one hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 277 404 554 808 1108 1616 2216 3232 4432 6464 8864 12928 17728 25856 27977 35456 55954 70912 111908 223816 447632 895264 1790528 3581056 7162112