Search a number
-
+
730048 = 26111761
BaseRepresentation
bin10110010001111000000
31101002102211
42302033000
5141330143
623351504
76130264
oct2621700
91332384
10730048
11459550
122b2594
131c73a7
141500a4
15e649d
hexb23c0

730048 has 56 divisors (see below), whose sum is σ = 1700784. Its totient is φ = 307200.

The previous prime is 730033. The next prime is 730049. The reversal of 730048 is 840037.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730049) by changing a digit.

730048 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, 11938 + ... + 11998.

2730048 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 730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850392).

730048 is an abundant number, since it is smaller than the sum of its proper divisors (970736).

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

730048 is a wasteful number, since it uses less digits than its factorization.

730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 730048 is about 854.4284639453. The cubic root of 730048 is about 90.0431069220.

The spelling of 730048 in words is "seven hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 61 64 68 88 122 136 176 187 244 272 352 374 488 544 671 704 748 976 1037 1088 1342 1496 1952 2074 2684 2992 3904 4148 5368 5984 8296 10736 11407 11968 16592 21472 22814 33184 42944 45628 66368 91256 182512 365024 730048