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2132361 = 3271117181
BaseRepresentation
bin1000001000100110001001
311000100001100
420020212021
51021213421
6113412013
724060540
oct10104611
94010040
102132361
111227090
1286a009
1359876a
143d7157
152c1c26
hex208989

2132361 has 48 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 1036800.

The previous prime is 2132359. The next prime is 2132371. The reversal of 2132361 is 1632312.

It is not a de Polignac number, because 2132361 - 21 = 2132359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2132311) 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 47 ways as a sum of consecutive naturals, for example, 11691 + ... + 11871.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

22132361 is an apocalyptic number.

2132361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2132361 is a deficient number, since it is larger than the sum of its proper divisors (1956087).

2132361 is a wasteful number, since it uses less digits than its factorization.

2132361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2132361 is about 1460.2605931819. The cubic root of 2132361 is about 128.7123571105.

Adding to 2132361 its reverse (1632312), we get a palindrome (3764673).

The spelling of 2132361 in words is "two million, one hundred thirty-two thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 181 187 231 357 543 561 693 1071 1267 1309 1629 1683 1991 3077 3801 3927 5973 9231 11403 11781 13937 17919 21539 27693 33847 41811 64617 101541 125433 193851 236929 304623 710787 2132361