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2132040 = 2335109163
BaseRepresentation
bin1000001000100001001000
311000022121110
420020201020
51021211130
6113410320
724056601
oct10104110
94008543
102132040
111226919
128699a0
13598581
143d6da8
152c1ab0
hex208848

2132040 has 64 divisors (see below), whose sum is σ = 6494400. Its totient is φ = 559872.

The previous prime is 2132033. The next prime is 2132057. The reversal of 2132040 is 402312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12999 + ... + 13161.

It is an arithmetic number, because the mean of its divisors is an integer number (101475).

22132040 is an apocalyptic number.

2132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247200).

2132040 is an abundant number, since it is smaller than the sum of its proper divisors (4362360).

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

2132040 is a wasteful number, since it uses less digits than its factorization.

2132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2132040 is about 1460.1506771563. The cubic root of 2132040 is about 128.7058981134.

Adding to 2132040 its reverse (402312), we get a palindrome (2534352).

The spelling of 2132040 in words is "two million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 163 218 326 327 436 489 545 652 654 815 872 978 1090 1304 1308 1630 1635 1956 2180 2445 2616 3260 3270 3912 4360 4890 6520 6540 9780 13080 17767 19560 35534 53301 71068 88835 106602 142136 177670 213204 266505 355340 426408 533010 710680 1066020 2132040