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2672532 = 2232611217
BaseRepresentation
bin1010001100011110010100
312000210000200
422030132110
51141010112
6133140500
731500432
oct12143624
95023020
102672532
111565a05
12a8a730
137275a5
144d7d52
1537bcdc
hex28c794

2672532 has 36 divisors (see below), whose sum is σ = 6871956. Its totient is φ = 875520.

The previous prime is 2672507. The next prime is 2672533. The reversal of 2672532 is 2352762.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 2268036 = 636^2 + 1506^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2672496 and 2672505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672533) 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, 1588 + ... + 2804.

22672532 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 2672532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435978).

2672532 is an abundant number, since it is smaller than the sum of its proper divisors (4199424).

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

2672532 is a wasteful number, since it uses less digits than its factorization.

2672532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1283 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2672532 is about 1634.7880596579. The cubic root of 2672532 is about 138.7738502950.

The spelling of 2672532 in words is "two million, six hundred seventy-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1217 2196 2434 3651 4868 7302 10953 14604 21906 43812 74237 148474 222711 296948 445422 668133 890844 1336266 2672532