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2001340 = 225112827
BaseRepresentation
bin111101000100110111100
310202200022201
413220212330
51003020330
6110521244
723003545
oct7504674
93680281
102001340
111147700
12806224
13550c33
143a14cc
15297eca
hex1e89bc

2001340 has 36 divisors (see below), whose sum is σ = 4625208. Its totient is φ = 726880.

The previous prime is 2001331. The next prime is 2001347. The reversal of 2001340 is 431002.

2001340 = T9 + T10 + ... + T228.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001347) 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, 2007 + ... + 2833.

It is an arithmetic number, because the mean of its divisors is an integer number (128478).

22001340 is an apocalyptic number.

2001340 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 2001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312604).

2001340 is an abundant number, since it is smaller than the sum of its proper divisors (2623868).

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

2001340 is a wasteful number, since it uses less digits than its factorization.

2001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2001340 is about 1414.6872445880. The cubic root of 2001340 is about 126.0202369444.

Adding to 2001340 its reverse (431002), we get a palindrome (2432342).

It can be divided in two parts, 200 and 1340, that added together give a triangular number (1540 = T55).

The spelling of 2001340 in words is "two million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 827 1210 1654 2420 3308 4135 8270 9097 16540 18194 36388 45485 90970 100067 181940 200134 400268 500335 1000670 2001340