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2674728 = 233372961
BaseRepresentation
bin1010001101000000101000
312000220001000
422031000220
51141042403
6133155000
731510020
oct12150050
95026030
102674728
111567621
12a8ba60
137285a4
144d8a80
1537c7a3
hex28d028

2674728 has 128 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 725760.

The previous prime is 2674691. The next prime is 2674733. The reversal of 2674728 is 8274762.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 219 + 64 + 74 + 42 + 75 + 221 + 85 .

Its product of digits (37632) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2674692 and 2674701.

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 31 ways as a sum of consecutive naturals, for example, 43818 + ... + 43878.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

22674728 is an apocalyptic number.

2674728 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 2674728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2674728 is an abundant number, since it is smaller than the sum of its proper divisors (6253272).

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

2674728 is a wasteful number, since it uses less digits than its factorization.

2674728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

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

The square root of 2674728 is about 1635.4595684394. The cubic root of 2674728 is about 138.8118497082.

The spelling of 2674728 in words is "two million, six hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 61 63 72 84 87 108 116 122 126 168 174 183 189 203 216 232 244 252 261 348 366 378 406 427 488 504 522 549 609 696 732 756 783 812 854 1044 1098 1218 1281 1464 1512 1566 1624 1647 1708 1769 1827 2088 2196 2436 2562 3132 3294 3416 3538 3654 3843 4392 4872 5124 5307 5481 6264 6588 7076 7308 7686 10248 10614 10962 11529 12383 13176 14152 14616 15372 15921 21228 21924 23058 24766 30744 31842 37149 42456 43848 46116 47763 49532 63684 74298 92232 95526 99064 111447 127368 148596 191052 222894 297192 334341 382104 445788 668682 891576 1337364 2674728