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2721088 = 26174161
BaseRepresentation
bin1010011000010101000000
312010020122001
422120111000
51144033323
6134153344
732062126
oct12302500
95106561
102721088
111599437
12ab2854
13743716
1450b916
1538b3ad
hex298540

2721088 has 56 divisors (see below), whose sum is σ = 5952744. Its totient is φ = 1228800.

The previous prime is 2721067. The next prime is 2721109. The reversal of 2721088 is 8801272.

It is an interprime number because it is at equal distance from previous prime (2721067) and next prime (2721109).

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 2715904 = 72^2 + 1648^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44578 + ... + 44638.

It is an arithmetic number, because the mean of its divisors is an integer number (106299).

22721088 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 2721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976372).

2721088 is an abundant number, since it is smaller than the sum of its proper divisors (3231656).

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

2721088 is a wasteful number, since it uses less digits than its factorization.

2721088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2721088 is about 1649.5720657189. The cubic root of 2721088 is about 139.6092505426.

It can be divided in two parts, 272 and 1088, that multiplied together give a square (295936 = 5442).

The spelling of 2721088 in words is "two million, seven hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 61 64 68 82 122 136 164 244 272 328 488 544 656 697 976 1037 1088 1312 1394 1952 2074 2501 2624 2788 3904 4148 5002 5576 8296 10004 11152 16592 20008 22304 33184 40016 42517 44608 66368 80032 85034 160064 170068 340136 680272 1360544 2721088