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2727072 = 253217557
BaseRepresentation
bin1010011001110010100000
312010112211200
422121302200
51144231242
6134241200
732115435
oct12316240
95115750
102727072
1115a2987
12ab6200
1374636a
1450db8c
1538d04c
hex299ca0

2727072 has 72 divisors (see below), whose sum is σ = 8226036. Its totient is φ = 854016.

The previous prime is 2727059. The next prime is 2727077. The reversal of 2727072 is 2707272.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 24336 = 1644^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2727077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4618 + ... + 5174.

22727072 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 2727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113018).

2727072 is an abundant number, since it is smaller than the sum of its proper divisors (5498964).

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

2727072 is a wasteful number, since it uses less digits than its factorization.

2727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 2727072 is about 1651.3848733714. The cubic root of 2727072 is about 139.7115147968.

The spelling of 2727072 in words is "two million, seven hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 557 612 816 1114 1224 1632 1671 2228 2448 3342 4456 4896 5013 6684 8912 9469 10026 13368 17824 18938 20052 26736 28407 37876 40104 53472 56814 75752 80208 85221 113628 151504 160416 170442 227256 303008 340884 454512 681768 909024 1363536 2727072