Search a number
-
+
2670696 = 233272757
BaseRepresentation
bin1010001100000001101000
312000200111200
422030001220
51140430241
6133124200
731462200
oct12140150
95020450
102670696
111564596
12a89660
137267c2
144d7400
1537b4b6
hex28c068

2670696 has 72 divisors (see below), whose sum is σ = 8425170. Its totient is φ = 762048.

The previous prime is 2670677. The next prime is 2670709. The reversal of 2670696 is 6960762.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 509796 = 1470^2 + 714^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2670696.

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 17 ways as a sum of consecutive naturals, for example, 3150 + ... + 3906.

22670696 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 2670696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212585).

2670696 is an abundant number, since it is smaller than the sum of its proper divisors (5754474).

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

2670696 is a wasteful number, since it uses less digits than its factorization.

2670696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2670696 is about 1634.2264225009. The cubic root of 2670696 is about 138.7420643136.

The spelling of 2670696 in words is "two million, six hundred seventy thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 757 882 1176 1514 1764 2271 3028 3528 4542 5299 6056 6813 9084 10598 13626 15897 18168 21196 27252 31794 37093 42392 47691 54504 63588 74186 95382 111279 127176 148372 190764 222558 296744 333837 381528 445116 667674 890232 1335348 2670696