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2130176 = 2853157
BaseRepresentation
bin1000001000000100000000
311000020001102
420020010000
51021131201
6113353532
724051266
oct10100400
94006042
102130176
111225484
128688a8
13597779
143d6436
152c126b
hex208100

2130176 has 36 divisors (see below), whose sum is σ = 4359852. Its totient is φ = 1038336.

The previous prime is 2130173. The next prime is 2130209. The reversal of 2130176 is 6710312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1081600 + 1048576 = 1040^2 + 1024^2 .

It is not an unprimeable number, because it can be changed into a prime (2130173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13490 + ... + 13646.

It is an arithmetic number, because the mean of its divisors is an integer number (121107).

22130176 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 2130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179926).

2130176 is an abundant number, since it is smaller than the sum of its proper divisors (2229676).

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

2130176 is an equidigital number, since it uses as much as digits as its factorization.

2130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2130176 is about 1459.5122472936. The cubic root of 2130176 is about 128.6683788450.

Adding to 2130176 its reverse (6710312), we get a palindrome (8840488).

The spelling of 2130176 in words is "two million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 157 212 256 314 424 628 848 1256 1696 2512 3392 5024 6784 8321 10048 13568 16642 20096 33284 40192 66568 133136 266272 532544 1065088 2130176