Search a number
-
+
2721024 = 28321181
BaseRepresentation
bin1010011000010100000000
312010020112200
422120110000
51144033044
6134153200
732062005
oct12302400
95106480
102721024
111599389
12ab2800
13743697
1450b8ac
1538b369
hex298500

2721024 has 54 divisors (see below), whose sum is σ = 7852026. Its totient is φ = 906240.

The previous prime is 2721023. The next prime is 2721031. The reversal of 2721024 is 4201272.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 57600 = 1632^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2720988 and 2721006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1714 + ... + 2894.

22721024 is an apocalyptic number.

2721024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2721024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926013).

2721024 is an abundant number, since it is smaller than the sum of its proper divisors (5131002).

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

2721024 is a wasteful number, since it uses less digits than its factorization.

2721024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2721024 is about 1649.5526666342. The cubic root of 2721024 is about 139.6081559973.

Adding to 2721024 its reverse (4201272), we get a palindrome (6922296).

It can be divided in two parts, 272 and 1024, that added together give a 4-th power (1296 = 64).

The spelling of 2721024 in words is "two million, seven hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1181 2304 2362 3543 4724 7086 9448 10629 14172 18896 21258 28344 37792 42516 56688 75584 85032 113376 151168 170064 226752 302336 340128 453504 680256 907008 1360512 2721024