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2638920 = 233521991
BaseRepresentation
bin1010000100010001001000
311222001220210
422010101020
51133421140
6132321120
731300434
oct12042110
94861823
102638920
111542729
12a731a0
137151bb
144c99c4
15371d80
hex284448

2638920 has 32 divisors (see below), whose sum is σ = 7917120. Its totient is φ = 703680.

The previous prime is 2638919. The next prime is 2638931. The reversal of 2638920 is 298362.

2638920 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 211 + 6 + 312 + 87 + 92 + 213 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10876 + ... + 11115.

It is an arithmetic number, because the mean of its divisors is an integer number (247410).

22638920 is an apocalyptic number.

2638920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638920 is an abundant number, since it is smaller than the sum of its proper divisors (5278200).

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

2638920 is a wasteful number, since it uses less digits than its factorization.

2638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2638920 is about 1624.4752999046. The cubic root of 2638920 is about 138.1896154208.

The spelling of 2638920 in words is "two million, six hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 21991 43982 65973 87964 109955 131946 175928 219910 263892 329865 439820 527784 659730 879640 1319460 2638920