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2740668 = 223725979
BaseRepresentation
bin1010011101000110111100
312011020111020
422131012330
51200200133
6134424140
732203200
oct12350674
95136436
102740668
111602117
12b02050
1374c5c8
14514b00
153920b3
hex29d1bc

2740668 has 72 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 760032.

The previous prime is 2740667. The next prime is 2740721. The reversal of 2740668 is 8660472.

2740668 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27406682 = 15022522172448, which contains 22 as substring.

2740668 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34653 + ... + 34731.

It is an arithmetic number, because the mean of its divisors is an integer number (106400).

22740668 is an apocalyptic number.

2740668 is a gapful number since it is divisible by the number (28) 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 2740668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2740668 is an abundant number, since it is smaller than the sum of its proper divisors (4920132).

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

2740668 is a wasteful number, since it uses less digits than its factorization.

2740668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2740668 is about 1655.4963002073. The cubic root of 2740668 is about 139.9433103813.

The spelling of 2740668 in words is "two million, seven hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 79 84 98 118 147 158 177 196 236 237 294 316 354 413 474 553 588 708 826 948 1106 1239 1652 1659 2212 2478 2891 3318 3871 4661 4956 5782 6636 7742 8673 9322 11564 11613 13983 15484 17346 18644 23226 27966 32627 34692 46452 55932 65254 97881 130508 195762 228389 391524 456778 685167 913556 1370334 2740668