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7128940 = 2257133917
BaseRepresentation
bin11011001100011101101100
3111102012001211
4123030131230
53311111230
6412444204
7114411040
oct33143554
914365054
107128940
11402a095
122479664
131627b10
14d38020
1595c42a
hex6cc76c

7128940 has 48 divisors (see below), whose sum is σ = 18430272. Its totient is φ = 2255616.

The previous prime is 7128931. The next prime is 7128943. The reversal of 7128940 is 498217.

It is not an unprimeable number, because it can be changed into a prime (7128943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 3778.

It is an arithmetic number, because the mean of its divisors is an integer number (383964).

Almost surely, 27128940 is an apocalyptic number.

7128940 is a gapful number since it is divisible by the number (70) 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 7128940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215136).

7128940 is an abundant number, since it is smaller than the sum of its proper divisors (11301332).

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

7128940 is a wasteful number, since it uses less digits than its factorization.

7128940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 7128940 is about 2670.0074906262. The cubic root of 7128940 is about 192.4605192547.

The spelling of 7128940 in words is "seven million, one hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3917 7834 15668 19585 27419 39170 50921 54838 78340 101842 109676 137095 203684 254605 274190 356447 509210 548380 712894 1018420 1425788 1782235 3564470 7128940