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2132020 = 225112881
BaseRepresentation
bin1000001000100000110100
311000022120201
420020200310
51021211040
6113410244
724056542
oct10104064
94008521
102132020
111226900
12869984
13598567
143d6d92
152c1a9a
hex208834

2132020 has 36 divisors (see below), whose sum is σ = 4926852. Its totient is φ = 774400.

The previous prime is 2132003. The next prime is 2132023. The reversal of 2132020 is 202312.

Adding to 2132020 its reverse (202312), we get a palindrome (2334332).

It can be divided in two parts, 21 and 32020, that added together give a square (32041 = 1792).

2132020 = 2382 + 2392 + ... + 2702.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 1572516 = 748^2 + 1254^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2131988 and 2132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132023) 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, 1980 + ... + 2860.

It is an arithmetic number, because the mean of its divisors is an integer number (136857).

22132020 is an apocalyptic number.

2132020 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 2132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463426).

2132020 is an abundant number, since it is smaller than the sum of its proper divisors (2794832).

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

2132020 is a wasteful number, since it uses less digits than its factorization.

2132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 899 counting only the distinct ones).

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

The square root of 2132020 is about 1460.1438285320. The cubic root of 2132020 is about 128.7054956623.

The spelling of 2132020 in words is "two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 881 1210 1762 2420 3524 4405 8810 9691 17620 19382 38764 48455 96910 106601 193820 213202 426404 533005 1066010 2132020