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2722080 = 253553107
BaseRepresentation
bin1010011000100100100000
312010021222210
422120210200
51144101310
6134202120
732065044
oct12304440
95107883
102722080
11159a159
12ab3340
13743cca
1450c024
1538b820
hex298920

2722080 has 96 divisors (see below), whose sum is σ = 8817984. Its totient is φ = 705536.

The previous prime is 2722067. The next prime is 2722087. The reversal of 2722080 is 802272.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2722087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25387 + ... + 25493.

It is an arithmetic number, because the mean of its divisors is an integer number (91854).

22722080 is an apocalyptic number.

2722080 is a gapful number since it is divisible by the number (20) 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 2722080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408992).

2722080 is an abundant number, since it is smaller than the sum of its proper divisors (6095904).

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

2722080 is a wasteful number, since it uses less digits than its factorization.

2722080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2722080 is about 1649.8727223638. The cubic root of 2722080 is about 139.6262138002.

The spelling of 2722080 in words is "two million, seven hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 107 120 159 160 212 214 240 265 318 321 424 428 480 530 535 636 642 795 848 856 1060 1070 1272 1284 1590 1605 1696 1712 2120 2140 2544 2568 3180 3210 3424 4240 4280 5088 5136 5671 6360 6420 8480 8560 10272 11342 12720 12840 17013 17120 22684 25440 25680 28355 34026 45368 51360 56710 68052 85065 90736 113420 136104 170130 181472 226840 272208 340260 453680 544416 680520 907360 1361040 2722080