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2532996 = 223271991
BaseRepresentation
bin1001101010011010000100
311202200121200
421222122010
51122023441
6130142500
730346554
oct11523204
94680550
102532996
111480094
12a21a30
136a8c1b
1449d164
153507b6
hex26a684

2532996 has 36 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 831600.

The previous prime is 2532991. The next prime is 2533007. The reversal of 2532996 is 6992352.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2532996.

It is not an unprimeable number, because it can be changed into a prime (2532991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2061 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

22532996 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 2532996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2532996 is an abundant number, since it is smaller than the sum of its proper divisors (3966588).

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

2532996 is a wasteful number, since it uses less digits than its factorization.

2532996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 2532996 is about 1591.5388779417. The cubic root of 2532996 is about 136.3153724955.

It can be divided in two parts, 25329 and 96, that added together give a triangular number (25425 = T225).

The spelling of 2532996 in words is "two million, five hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 991 1278 1982 2556 2973 3964 5946 8919 11892 17838 35676 70361 140722 211083 281444 422166 633249 844332 1266498 2532996