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2130084 = 2233112163
BaseRepresentation
bin1000001000000010100100
311000012221000
420020002210
51021130314
6113353300
724051105
oct10100244
94005830
102130084
111225400
12868830
13597708
143d63ac
152c1209
hex2080a4

2130084 has 72 divisors (see below), whose sum is σ = 6107360. Its totient is φ = 641520.

The previous prime is 2130061. The next prime is 2130101. The reversal of 2130084 is 4800312.

2130084 = 682 + 692 + ... + 1882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12987 + ... + 13149.

22130084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053680).

2130084 is an abundant number, since it is smaller than the sum of its proper divisors (3977276).

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

2130084 is a wasteful number, since it uses less digits than its factorization.

2130084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2130084 is about 1459.4807295747. The cubic root of 2130084 is about 128.6665264689. Note that the first 3 decimals are identical.

Adding to 2130084 its reverse (4800312), we get a palindrome (6930396).

The spelling of 2130084 in words is "two million, one hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 163 198 242 297 326 363 396 484 489 594 652 726 978 1089 1188 1452 1467 1793 1956 2178 2934 3267 3586 4356 4401 5379 5868 6534 7172 8802 10758 13068 16137 17604 19723 21516 32274 39446 48411 59169 64548 78892 96822 118338 177507 193644 236676 355014 532521 710028 1065042 2130084