Search a number
-
+
2660634 = 233291699
BaseRepresentation
bin1010001001100100011010
312000011201000
422021210122
51140120014
6133005430
731420644
oct12114432
95004630
102660634
111557a79
12a83876
13722052
144d3894
15378509
hex28991a

2660634 has 32 divisors (see below), whose sum is σ = 6120000. Its totient is φ = 855792.

The previous prime is 2660621. The next prime is 2660639. The reversal of 2660634 is 4360662.

2660634 is a `hidden beast` number, since 26 + 6 + 0 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2660598 and 2660607.

It is not an unprimeable number, because it can be changed into a prime (2660639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (191250).

22660634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2660634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060000).

2660634 is an abundant number, since it is smaller than the sum of its proper divisors (3459366).

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

2660634 is a wasteful number, since it uses less digits than its factorization.

With its successor (2660635) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1733).

2660634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2660634 is about 1631.1449966205. The cubic root of 2660634 is about 138.5676054799.

The spelling of 2660634 in words is "two million, six hundred sixty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 1699 3398 5097 10194 15291 30582 45873 49271 91746 98542 147813 295626 443439 886878 1330317 2660634