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756028 = 227133167
BaseRepresentation
bin10111000100100111100
31102102002001
42320210330
5143143103
624112044
76266110
oct2704474
91372061
10756028
11477019
12305624
13206170
14159740
15ee01d
hexb893c

756028 has 48 divisors (see below), whose sum is σ = 1705984. Its totient is φ = 285120.

The previous prime is 756023. The next prime is 756043. The reversal of 756028 is 820657.

756028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 755987 and 756005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11251 + ... + 11317.

2756028 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 756028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852992).

756028 is an abundant number, since it is smaller than the sum of its proper divisors (949956).

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

756028 is a wasteful number, since it uses less digits than its factorization.

756028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 756028 is about 869.4987061520. The cubic root of 756028 is about 91.0987938050.

The spelling of 756028 in words is "seven hundred fifty-six thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 67 91 124 134 182 217 268 364 403 434 469 806 868 871 938 1612 1742 1876 2077 2821 3484 4154 5642 6097 8308 11284 12194 14539 24388 27001 29078 54002 58156 108004 189007 378014 756028