Search a number
-
+
707728 = 2477189
BaseRepresentation
bin10101100110010010000
31022221211011
42230302100
5140121403
623100304
76005230
oct2546220
91287734
10707728
114437aa
122a1694
131ba198
14145cc0
15dea6d
hexacc90

707728 has 40 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 295680.

The previous prime is 707723. The next prime is 707747. The reversal of 707728 is 827707.

It is a self number, because there is not a number n which added to its sum of digits gives 707728.

It is not an unprimeable number, because it can be changed into a prime (707723) by changing a digit.

707728 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, 7908 + ... + 7996.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2707728 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 707728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

707728 is an abundant number, since it is smaller than the sum of its proper divisors (899312).

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

707728 is a wasteful number, since it uses less digits than its factorization.

707728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 707728 is about 841.2657130776. The cubic root of 707728 is about 89.1159537329.

The spelling of 707728 in words is "seven hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 89 112 142 178 284 356 497 568 623 712 994 1136 1246 1424 1988 2492 3976 4984 6319 7952 9968 12638 25276 44233 50552 88466 101104 176932 353864 707728