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2132104 = 231321983
BaseRepresentation
bin1000001000100010001000
311000022200211
420020202020
51021211404
6113410504
724060022
oct10104210
94008624
102132104
111226977
12869a34
13598600
143d7012
152c1b04
hex208888

2132104 has 48 divisors (see below), whose sum is σ = 4611600. Its totient is φ = 921024.

The previous prime is 2132063. The next prime is 2132107. The reversal of 2132104 is 4012312.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25647 + ... + 25729.

It is an arithmetic number, because the mean of its divisors is an integer number (96075).

22132104 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 2132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305800).

2132104 is an abundant number, since it is smaller than the sum of its proper divisors (2479496).

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

2132104 is a wasteful number, since it uses less digits than its factorization.

2132104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2132104 is about 1460.1725925383. The cubic root of 2132104 is about 128.7071859403.

Adding to 2132104 its reverse (4012312), we get a palindrome (6144416).

The spelling of 2132104 in words is "two million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 76 83 104 152 166 169 247 332 338 494 664 676 988 1079 1352 1577 1976 2158 3154 3211 4316 6308 6422 8632 12616 12844 14027 20501 25688 28054 41002 56108 82004 112216 164008 266513 533026 1066052 2132104