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2130000 = 2435471
BaseRepresentation
bin1000001000000001010000
311000012210220
420020001100
51021130000
6113353040
724050625
oct10100120
94005726
102130000
111225334
12868780
13597672
143d634c
152c11a0
hex208050

2130000 has 100 divisors (see below), whose sum is σ = 6972768. Its totient is φ = 560000.

The previous prime is 2129983. The next prime is 2130001. The reversal of 2130000 is 312.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29965 + ... + 30035.

22130000 is an apocalyptic number.

2130000 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 2130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486384).

2130000 is an abundant number, since it is smaller than the sum of its proper divisors (4842768).

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

2130000 is an equidigital number, since it uses as much as digits as its factorization.

2130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2130000 is about 1459.4519519326. The cubic root of 2130000 is about 128.6648351224.

Adding to 2130000 its reverse (312), we get a palindrome (2130312).

The spelling of 2130000 in words is "two million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 125 142 150 200 213 240 250 284 300 355 375 400 426 500 568 600 625 710 750 852 1000 1065 1136 1200 1250 1420 1500 1704 1775 1875 2000 2130 2500 2840 3000 3408 3550 3750 4260 5000 5325 5680 6000 7100 7500 8520 8875 10000 10650 14200 15000 17040 17750 21300 26625 28400 30000 35500 42600 44375 53250 71000 85200 88750 106500 133125 142000 177500 213000 266250 355000 426000 532500 710000 1065000 2130000