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2130060 = 2235131271
BaseRepresentation
bin1000001000000010001100
311000012220010
420020002030
51021130220
6113353220
724051042
oct10100214
94005803
102130060
111225389
12868810
135976ba
143d6392
152c11e0
hex20808c

2130060 has 48 divisors (see below), whose sum is σ = 6031872. Its totient is φ = 561600.

The previous prime is 2130047. The next prime is 2130061. The reversal of 2130060 is 600312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7725 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (125664).

22130060 is an apocalyptic number.

2130060 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 2130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015936).

2130060 is an abundant number, since it is smaller than the sum of its proper divisors (3901812).

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

2130060 is a wasteful number, since it uses less digits than its factorization.

2130060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130060 is about 1459.4725074492. The cubic root of 2130060 is about 128.6660432315. Note that the first 3 decimals are identical.

Adding to 2130060 its reverse (600312), we get a palindrome (2730372).

The spelling of 2130060 in words is "two million, one hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 271 393 524 542 655 786 813 1084 1310 1355 1572 1626 1965 2620 2710 3252 3930 4065 5420 7860 8130 16260 35501 71002 106503 142004 177505 213006 355010 426012 532515 710020 1065030 2130060