Search a number
-
+
2632122 = 23379617
BaseRepresentation
bin1010000010100110111010
311221201121000
422002212322
51133211442
6132225430
731241553
oct12024672
94851530
102632122
111538609
12a6b276
1371208c
144c732a
1536ed4c
hex2829ba

2632122 has 32 divisors (see below), whose sum is σ = 5932800. Its totient is φ = 864864.

The previous prime is 2632121. The next prime is 2632129. The reversal of 2632122 is 2212362.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 27 + 65 + 36 + 211 + 1 + 219 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2632095 and 2632104.

It is not an unprimeable number, because it can be changed into a prime (2632121) 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, 3958 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (185400).

22632122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2632122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966400).

2632122 is an abundant number, since it is smaller than the sum of its proper divisors (3300678).

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

2632122 is a wasteful number, since it uses less digits than its factorization.

2632122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2632122 is about 1622.3815827357. The cubic root of 2632122 is about 138.0708520856.

Adding to 2632122 its reverse (2212362), we get a palindrome (4844484).

The spelling of 2632122 in words is "two million, six hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 617 711 1234 1422 1851 2133 3702 4266 5553 11106 16659 33318 48743 97486 146229 292458 438687 877374 1316061 2632122