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2693106 = 2321317677
BaseRepresentation
bin1010010001011111110010
312001211020200
422101133302
51142134411
6133420030
731614423
oct12213762
95054220
102693106
11157a409
12a9a616
13733a70
1450164a
15382e56
hex2917f2

2693106 has 48 divisors (see below), whose sum is σ = 6663384. Its totient is φ = 778752.

The previous prime is 2693071. The next prime is 2693107. The reversal of 2693106 is 6013962.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2673225 + 19881 = 1635^2 + 141^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2693106.

It is not an unprimeable number, because it can be changed into a prime (2693107) 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, 3640 + ... + 4316.

22693106 is an apocalyptic number.

2693106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331692).

2693106 is an abundant number, since it is smaller than the sum of its proper divisors (3970278).

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

2693106 is a wasteful number, since it uses less digits than its factorization.

2693106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2693106 is about 1641.0685543267. The cubic root of 2693106 is about 139.1290487605.

It can be divided in two parts, 269 and 3106, that added together give a cube (3375 = 153).

The spelling of 2693106 in words is "two million, six hundred ninety-three thousand, one hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 677 1326 1354 1989 2031 3978 4062 6093 8801 11509 12186 17602 23018 26403 34527 52806 69054 79209 103581 149617 158418 207162 299234 448851 897702 1346553 2693106