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2001390600 = 2335211714271
BaseRepresentation
bin111011101001010…
…1100110000001000
312011110222011202210
41313102230300020
513044323444400
6530332425120
7100411353006
oct16722546010
95143864683
102001390600
11937807420
1247a3181a0
1325b8432c1
1414db3ba76
15baa89950
hex774acc08

2001390600 has 192 divisors, whose sum is σ = 6865274880. Its totient is φ = 478240000.

The previous prime is 2001390577. The next prime is 2001390617. The reversal of 2001390600 is 60931002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466465 + ... + 470735.

It is an arithmetic number, because the mean of its divisors is an integer number (35756640).

Almost surely, 22001390600 is an apocalyptic number.

2001390600 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 2001390600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432637440).

2001390600 is an abundant number, since it is smaller than the sum of its proper divisors (4863884280).

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

2001390600 is a wasteful number, since it uses less digits than its factorization.

2001390600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2001390600 is about 44736.9042290590. The cubic root of 2001390600 is about 1260.2129899453.

The spelling of 2001390600 in words is "two billion, one million, three hundred ninety thousand, six hundred".