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2130261 = 37192281
BaseRepresentation
bin1000001000000101010101
311000020011120
420020011111
51021132021
6113354153
724051450
oct10100525
94006146
102130261
111225551
12868959
13597813
143d6497
152c12c6
hex208155

2130261 has 24 divisors (see below), whose sum is σ = 3438144. Its totient is φ = 1149120.

The previous prime is 2130251. The next prime is 2130269. The reversal of 2130261 is 1620312.

It is not a de Polignac number, because 2130261 - 27 = 2130133 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2130261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7441 + ... + 7721.

It is an arithmetic number, because the mean of its divisors is an integer number (143256).

22130261 is an apocalyptic number.

2130261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2130261 is the 843-rd octagonal number.

It is an amenable number.

2130261 is a deficient number, since it is larger than the sum of its proper divisors (1307883).

2130261 is a wasteful number, since it uses less digits than its factorization.

2130261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2130261 is about 1459.5413663203. The cubic root of 2130261 is about 128.6700902320.

Adding to 2130261 its reverse (1620312), we get a palindrome (3750573).

The spelling of 2130261 in words is "two million, one hundred thirty thousand, two hundred sixty-one".

Divisors: 1 3 7 19 21 57 133 281 361 399 843 1083 1967 2527 5339 5901 7581 16017 37373 101441 112119 304323 710087 2130261