Search a number
-
+
2697630 = 235136917
BaseRepresentation
bin1010010010100110011110
312002001110020
422102212132
51142311010
6133453010
731633545
oct12224636
95061406
102697630
111582851
12aa1166
13735b40
1450315c
15384470
hex29299e

2697630 has 32 divisors (see below), whose sum is σ = 6973344. Its totient is φ = 663936.

The previous prime is 2697599. The next prime is 2697637. The reversal of 2697630 is 367962.

2697630 is nontrivially palindromic in base 11.

2697630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2697591 and 2697600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697637) 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 15 ways as a sum of consecutive naturals, for example, 3069 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (217917).

22697630 is an apocalyptic number.

2697630 is an abundant number, since it is smaller than the sum of its proper divisors (4275714).

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

2697630 is a wasteful number, since it uses less digits than its factorization.

2697630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 2697630 is about 1642.4463461556. The cubic root of 2697630 is about 139.2069102462.

The spelling of 2697630 in words is "two million, six hundred ninety-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 6917 13834 20751 34585 41502 69170 89921 103755 179842 207510 269763 449605 539526 899210 1348815 2697630