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7041312 = 2532231063
BaseRepresentation
bin11010110111000100100000
3111020201212100
4122313010200
53300310222
6410530400
7113564415
oct32670440
914221770
107041312
113a7a273
122436a00
1315c6c75
14d1410c
159414ac
hex6b7120

7041312 has 72 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 2242944.

The previous prime is 7041311. The next prime is 7041317. The reversal of 7041312 is 2131407.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7041311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6093 + ... + 7155.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 27041312 is an apocalyptic number.

7041312 is a gapful number since it is divisible by the number (72) 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 7041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

7041312 is an abundant number, since it is smaller than the sum of its proper divisors (13872672).

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

7041312 is a wasteful number, since it uses less digits than its factorization.

7041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7041312 is about 2653.5470600688. The cubic root of 7041312 is about 191.6686994953.

Adding to 7041312 its reverse (2131407), we get a palindrome (9172719).

It can be divided in two parts, 704 and 1312, that added together give a triangular number (2016 = T63).

The spelling of 7041312 in words is "seven million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1063 1104 1656 2126 2208 3189 3312 4252 6378 6624 8504 9567 12756 17008 19134 24449 25512 34016 38268 48898 51024 73347 76536 97796 102048 146694 153072 195592 220041 293388 306144 391184 440082 586776 782368 880164 1173552 1760328 2347104 3520656 7041312