Search a number
-
+
790728 = 23347701
BaseRepresentation
bin11000001000011001000
31111011200020
43001003020
5200300403
624540440
76502221
oct3010310
91434606
10790728
114a00a4
12321720
13218bb3
14168248
15109453
hexc10c8

790728 has 32 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 257600.

The previous prime is 790709. The next prime is 790733. The reversal of 790728 is 827097.

790728 is nontrivially palindromic in base 11.

It is an unprimeable number.

790728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2790728 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 790728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

790728 is an abundant number, since it is smaller than the sum of its proper divisors (1231032).

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

790728 is a wasteful number, since it uses less digits than its factorization.

790728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 790728 is about 889.2288794231. The cubic root of 790728 is about 92.4717420379.

The spelling of 790728 in words is "seven hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 701 1128 1402 2103 2804 4206 5608 8412 16824 32947 65894 98841 131788 197682 263576 395364 790728