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2000120 = 235311613
BaseRepresentation
bin111101000010011111000
310202121122112
413220103320
51003000440
6110511452
723000153
oct7502370
93677575
102000120
1111467a1
12805588
13550505
143a0c9a
15297965
hex1e84f8

2000120 has 32 divisors (see below), whose sum is σ = 4648320. Its totient is φ = 773760.

The previous prime is 2000113. The next prime is 2000143. The reversal of 2000120 is 210002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (145260).

22000120 is an apocalyptic number.

2000120 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 2000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324160).

2000120 is an abundant number, since it is smaller than the sum of its proper divisors (2648200).

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

2000120 is a wasteful number, since it uses less digits than its factorization.

2000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2000120 is about 1414.2559881436. The cubic root of 2000120 is about 125.9946247812.

Adding to 2000120 its reverse (210002), we get a palindrome (2210122).

The spelling of 2000120 in words is "two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1613 3226 6452 8065 12904 16130 32260 50003 64520 100006 200012 250015 400024 500030 1000060 2000120