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681472 = 29113
BaseRepresentation
bin10100110011000000000
31021121210201
42212120000
5133301342
622334544
75535541
oct2463000
91247721
10681472
11426000
1228a454
131ab24c
1413a4c8
15d6db7
hexa6600

681472 has 40 divisors (see below), whose sum is σ = 1497672. Its totient is φ = 309760.

The previous prime is 681451. The next prime is 681481. The reversal of 681472 is 274186.

The cubic root of 681472 is 88.

It is a perfect power (a cube), and thus also a powerful number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 681472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61947 + ... + 61957.

681472 is a Friedman number, since it can be written as (8*(7+4))^(6-2-1), using all its digits and the basic arithmetic operations.

2681472 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 681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748836).

681472 is an abundant number, since it is smaller than the sum of its proper divisors (816200).

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

681472 is an frugal number, since it uses more digits than its factorization.

681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 13 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 681472 is about 825.5131737289.

It can be divided in two parts, 6814 and 72, that added together give a palindrome (6886).

The spelling of 681472 in words is "six hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1331 1408 1936 2662 2816 3872 5324 5632 7744 10648 15488 21296 30976 42592 61952 85184 170368 340736 681472