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2664500 = 2253732
BaseRepresentation
bin1010001010100000110100
312000101000012
422022200310
51140231000
6133035352
731435136
oct12124064
95011005
102664500
11155a973
12a85b58
13723a37
144d5056
15379735
hex28a834

2664500 has 36 divisors (see below), whose sum is σ = 5900076. Its totient is φ = 1051200.

The previous prime is 2664479. The next prime is 2664511. The reversal of 2664500 is 54662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 698896 + 1965604 = 836^2 + 1402^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36464 + ... + 36536.

It is an arithmetic number, because the mean of its divisors is an integer number (163891).

22664500 is an apocalyptic number.

2664500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950038).

2664500 is an abundant number, since it is smaller than the sum of its proper divisors (3235576).

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

2664500 is an equidigital number, since it uses as much as digits as its factorization.

2664500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2664500 is about 1632.3296235748. The cubic root of 2664500 is about 138.6346876248.

The spelling of 2664500 in words is "two million, six hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1460 1825 3650 5329 7300 9125 10658 18250 21316 26645 36500 53290 106580 133225 266450 532900 666125 1332250 2664500