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6721056 = 25342593
BaseRepresentation
bin11001101000111000100000
3110122110120000
4121220320200
53210033211
6400020000
7111061626
oct31507040
913573500
106721056
1138806a1
122301600
131514274
14c6d516
158cb656
hex668e20

6721056 has 60 divisors (see below), whose sum is σ = 19774062. Its totient is φ = 2239488.

The previous prime is 6721051. The next prime is 6721061. The reversal of 6721056 is 6501276.

It is an interprime number because it is at equal distance from previous prime (6721051) and next prime (6721061).

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 1245456 = 2340^2 + 1116^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

6721056 is a modest number, since divided by 1056 gives 672 as remainder.

It is not an unprimeable number, because it can be changed into a prime (6721051) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1296 + ... + 3888.

Almost surely, 26721056 is an apocalyptic number.

It is a pronic number, being equal to 2592×2593.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6721056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887031).

6721056 is an abundant number, since it is smaller than the sum of its proper divisors (13053006).

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

6721056 is a wasteful number, since it uses less digits than its factorization.

6721056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 6721056 is about 2592.4999517840. The cubic root of 6721056 is about 188.7176433871.

It can be divided in two parts, 672 and 1056, that added together give a cube (1728 = 123).

The spelling of 6721056 in words is "six million, seven hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2593 5186 7779 10372 15558 20744 23337 31116 41488 46674 62232 70011 82976 93348 124464 140022 186696 210033 248928 280044 373392 420066 560088 746784 840132 1120176 1680264 2240352 3360528 6721056