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2747268 = 223217672
BaseRepresentation
bin1010011110101110000100
312011120112200
422132232010
51200403033
6134514500
732231346
oct12365604
95146480
102747268
111607077
12b05a30
13752604
14517296
15394013
hex29eb84

2747268 has 54 divisors (see below), whose sum is σ = 7464366. Its totient is φ = 849024.

The previous prime is 2747263. The next prime is 2747273. The reversal of 2747268 is 8627472.

2747268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2747263) and next prime (2747273).

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 161604 = 1608^2 + 402^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2747263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40971 + ... + 41037.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

22747268 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 2747268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732183).

2747268 is an abundant number, since it is smaller than the sum of its proper divisors (4717098).

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

2747268 is a wasteful number, since it uses less digits than its factorization.

2747268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 89 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2747268 is about 1657.4884614983. The cubic root of 2747268 is about 140.0555561820.

The spelling of 2747268 in words is "two million, seven hundred forty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 2278 2412 3417 4489 4556 6834 8978 10251 13467 13668 17956 20502 26934 40401 41004 53868 76313 80802 152626 161604 228939 305252 457878 686817 915756 1373634 2747268