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2672676 = 223473113
BaseRepresentation
bin1010001100100000100100
312000210020000
422030200210
51141011201
6133141300
731501026
oct12144044
95023200
102672676
111566026
12a8a830
13727686
144d8016
1537bd86
hex28c824

2672676 has 60 divisors (see below), whose sum is σ = 7145292. Its totient is φ = 870912.

The previous prime is 2672671. The next prime is 2672687. The reversal of 2672676 is 6762762.

It can be written as a sum of positive squares in 2 ways, for example, as 599076 + 2073600 = 774^2 + 1440^2 .

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 2672676.

It is not an unprimeable number, because it can be changed into a prime (2672671) 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 19 ways as a sum of consecutive naturals, for example, 23596 + ... + 23708.

22672676 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 2672676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572646).

2672676 is an abundant number, since it is smaller than the sum of its proper divisors (4472616).

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

2672676 is a wasteful number, since it uses less digits than its factorization.

2672676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2672676 is about 1634.8321014710. The cubic root of 2672676 is about 138.7763426974.

The spelling of 2672676 in words is "two million, six hundred seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 113 146 162 219 226 292 324 339 438 452 657 678 876 1017 1314 1356 1971 2034 2628 3051 3942 4068 5913 6102 7884 8249 9153 11826 12204 16498 18306 23652 24747 32996 36612 49494 74241 98988 148482 222723 296964 445446 668169 890892 1336338 2672676