Search a number
-
+
2642696 = 237411151
BaseRepresentation
bin1010000101001100001000
311222021002122
422011030020
51134031241
6132350412
731314440
oct12051410
94867078
102642696
111545551
12a75408
13716b34
144cb120
1537304b
hex285308

2642696 has 32 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 1104000.

The previous prime is 2642693. The next prime is 2642699. The reversal of 2642696 is 6962462.

It is an interprime number because it is at equal distance from previous prime (2642693) and next prime (2642699).

It is not an unprimeable number, because it can be changed into a prime (2642693) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1721 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

22642696 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 2642696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2642696 is an abundant number, since it is smaller than the sum of its proper divisors (3163384).

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

2642696 is a wasteful number, since it uses less digits than its factorization.

2642696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 2642696 is about 1625.6371058757. The cubic root of 2642696 is about 138.2554953142.

The spelling of 2642696 in words is "two million, six hundred forty-two thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1151 2296 2302 4604 8057 9208 16114 32228 47191 64456 94382 188764 330337 377528 660674 1321348 2642696