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7131136 = 2121741
BaseRepresentation
bin11011001101000000000000
3111102022002011
4123031000000
53311144021
6412502304
7114420325
oct33150000
914368064
107131136
114030801
12247a994
131628b0c
14d38b4c
1595cde1
hex6cd000

7131136 has 26 divisors (see below), whose sum is σ = 14268722. Its totient is φ = 3563520.

The previous prime is 7131133. The next prime is 7131139. The reversal of 7131136 is 6311317.

It is an interprime number because it is at equal distance from previous prime (7131133) and next prime (7131139).

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 3444736 = 1920^2 + 1856^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3226 + ... + 4966.

It is an arithmetic number, because the mean of its divisors is an integer number (548797).

Almost surely, 27131136 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 7131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134361).

7131136 is an abundant number, since it is smaller than the sum of its proper divisors (7137586).

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

7131136 is an equidigital number, since it uses as much as digits as its factorization.

7131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1743 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 7131136 is about 2670.4186937632. The cubic root of 7131136 is about 192.4802790839.

It can be divided in two parts, 713 and 1136, that added together give a square (1849 = 432).

The spelling of 7131136 in words is "seven million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1741 2048 3482 4096 6964 13928 27856 55712 111424 222848 445696 891392 1782784 3565568 7131136