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2133280 = 25567199
BaseRepresentation
bin1000001000110100100000
311000101022101
420020310200
51021231110
6113420144
724063322
oct10106440
94011271
102133280
111227846
1286a654
13598cc6
143d7612
152c213a
hex208d20

2133280 has 48 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 836352.

The previous prime is 2133277. The next prime is 2133281. The reversal of 2133280 is 823312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2133281) 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, 10621 + ... + 10819.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

22133280 is an apocalyptic number.

2133280 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 2133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2133280 is an abundant number, since it is smaller than the sum of its proper divisors (3007520).

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

2133280 is a wasteful number, since it uses less digits than its factorization.

2133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2133280 is about 1460.5752291477. The cubic root of 2133280 is about 128.7308451725.

Adding to 2133280 its reverse (823312), we get a palindrome (2956592).

It can be divided in two parts, 21332 and 80, that added together give a palindrome (21412).

The spelling of 2133280 in words is "two million, one hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 199 268 335 398 536 670 796 995 1072 1340 1592 1990 2144 2680 3184 3980 5360 6368 7960 10720 13333 15920 26666 31840 53332 66665 106664 133330 213328 266660 426656 533320 1066640 2133280