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2132000 = 25531341
BaseRepresentation
bin1000001000100000100000
311000022112222
420020200200
51021211000
6113410212
724056513
oct10104040
94008488
102132000
111226892
12869968
13598550
143d6d7a
152c1a85
hex208820

2132000 has 96 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 768000.

The previous prime is 2131991. The next prime is 2132003. The reversal of 2132000 is 2312.

Adding to 2132000 its reverse (2312), we get a palindrome (2134312).

2132000 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 183184 + 1948816 = 428^2 + 1396^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51980 + ... + 52020.

22132000 is an apocalyptic number.

2132000 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 2132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

2132000 is an abundant number, since it is smaller than the sum of its proper divisors (3646864).

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

2132000 is a wasteful number, since it uses less digits than its factorization.

2132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2132000 is about 1460.1369798755. The cubic root of 2132000 is about 128.7050932086.

The spelling of 2132000 in words is "two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 65 80 82 100 104 125 130 160 164 200 205 208 250 260 325 328 400 410 416 500 520 533 650 656 800 820 1000 1025 1040 1066 1300 1312 1625 1640 2000 2050 2080 2132 2600 2665 3250 3280 4000 4100 4264 5125 5200 5330 6500 6560 8200 8528 10250 10400 10660 13000 13325 16400 17056 20500 21320 26000 26650 32800 41000 42640 52000 53300 66625 82000 85280 106600 133250 164000 213200 266500 426400 533000 1066000 2132000