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7047072 = 253224469
BaseRepresentation
bin11010111000011110100000
3111021000202200
4122320132200
53301001242
6411013200
7113620254
oct32703640
914230680
107047072
113a8362a
12243a200
1315c9786
14d16264
1594304c
hex6b87a0

7047072 has 36 divisors (see below), whose sum is σ = 20040930. Its totient is φ = 2348928.

The previous prime is 7047059. The next prime is 7047083. The reversal of 7047072 is 2707407.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6780816 + 266256 = 2604^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×70470722 = 99322447546368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11947 + ... + 12522.

Almost surely, 27047072 is an apocalyptic number.

7047072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7047072 is an abundant number, since it is smaller than the sum of its proper divisors (12993858).

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

7047072 is a wasteful number, since it uses less digits than its factorization.

7047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24485 (or 24474 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 7047072 is about 2654.6321779109. The cubic root of 7047072 is about 191.7209487924.

It can be divided in two parts, 704 and 7072, that added together give a 5-th power (7776 = 65).

The spelling of 7047072 in words is "seven million, forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 24469 48938 73407 97876 146814 195752 220221 293628 391504 440442 587256 783008 880884 1174512 1761768 2349024 3523536 7047072