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7130112 = 210311211
BaseRepresentation
bin11011001100110000000000
3111102020200020
4123030300000
53311130422
6412453440
7114414333
oct33146000
914366606
107130112
11402aa60
12247a280
131628502
14d3861a
1595c95c
hex6ccc00

7130112 has 88 divisors (see below), whose sum is σ = 20830272. Its totient is φ = 2150400.

The previous prime is 7130083. The next prime is 7130113. The reversal of 7130112 is 2110317.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 7130091 and 7130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130113) 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, 33687 + ... + 33897.

Almost surely, 27130112 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 7130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415136).

7130112 is an abundant number, since it is smaller than the sum of its proper divisors (13700160).

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

7130112 is a wasteful number, since it uses less digits than its factorization.

7130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 7130112 is about 2670.2269566462. The cubic root of 7130112 is about 192.4710655336.

Adding to 7130112 its reverse (2110317), we get a palindrome (9240429).

The spelling of 7130112 in words is "seven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 211 256 264 352 384 422 512 528 633 704 768 844 1024 1056 1266 1408 1536 1688 2112 2321 2532 2816 3072 3376 4224 4642 5064 5632 6752 6963 8448 9284 10128 11264 13504 13926 16896 18568 20256 27008 27852 33792 37136 40512 54016 55704 74272 81024 108032 111408 148544 162048 216064 222816 297088 324096 445632 594176 648192 891264 1188352 1782528 2376704 3565056 7130112