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2132120 = 235151353
BaseRepresentation
bin1000001000100010011000
311000022201102
420020202120
51021211440
6113410532
724060044
oct10104230
94008642
102132120
111226991
12869a48
13598613
143d7024
152c1b15
hex208898

2132120 has 32 divisors (see below), whose sum is σ = 4842720. Its totient is φ = 844800.

The previous prime is 2132113. The next prime is 2132129. The reversal of 2132120 is 212312.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5864 + ... + 6216.

It is an arithmetic number, because the mean of its divisors is an integer number (151335).

22132120 is an apocalyptic number.

2132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132120 is an abundant number, since it is smaller than the sum of its proper divisors (2710600).

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

2132120 is a wasteful number, since it uses less digits than its factorization.

2132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2132120 is about 1460.1780713324. The cubic root of 2132120 is about 128.7075078930.

Adding to 2132120 its reverse (212312), we get a palindrome (2344432).

The spelling of 2132120 in words is "two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 302 353 604 706 755 1208 1412 1510 1765 2824 3020 3530 6040 7060 14120 53303 106606 213212 266515 426424 533030 1066060 2132120