Search a number
-
+
728004 = 2231931103
BaseRepresentation
bin10110001101111000100
31100222122010
42301233010
5141244004
623334220
76121314
oct2615704
91328563
10728004
11457a62
122b1370
131c6494
1414d444
15e5a89
hexb1bc4

728004 has 48 divisors (see below), whose sum is σ = 1863680. Its totient is φ = 220320.

The previous prime is 728003. The next prime is 728017. The reversal of 728004 is 400827.

It is a happy number.

728004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728003) 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, 7017 + ... + 7119.

2728004 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 728004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931840).

728004 is an abundant number, since it is smaller than the sum of its proper divisors (1135676).

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

728004 is a wasteful number, since it uses less digits than its factorization.

728004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 728004 is about 853.2315043410. The cubic root of 728004 is about 89.9589936650.

The spelling of 728004 in words is "seven hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 103 114 124 186 206 228 309 372 412 589 618 1178 1236 1767 1957 2356 3193 3534 3914 5871 6386 7068 7828 9579 11742 12772 19158 23484 38316 60667 121334 182001 242668 364002 728004