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2133480 = 233523773
BaseRepresentation
bin1000001000110111101000
311000101120210
420020313220
51021232410
6113421120
724064026
oct10106750
94011523
102133480
111227a08
1286a7a0
1359911b
143d7716
152c2220
hex208de8

2133480 has 64 divisors (see below), whose sum is σ = 6687360. Its totient is φ = 543488.

The previous prime is 2133463. The next prime is 2133487. The reversal of 2133480 is 843312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2133487) 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, 2374 + ... + 3146.

It is an arithmetic number, because the mean of its divisors is an integer number (104490).

22133480 is an apocalyptic number.

2133480 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 2133480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343680).

2133480 is an abundant number, since it is smaller than the sum of its proper divisors (4553880).

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

2133480 is a wasteful number, since it uses less digits than its factorization.

2133480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2133480 is about 1460.6436937186. The cubic root of 2133480 is about 128.7348679863.

Adding to 2133480 its reverse (843312), we get a palindrome (2976792).

The spelling of 2133480 in words is "two million, one hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 773 920 1380 1546 2319 2760 3092 3865 4638 6184 7730 9276 11595 15460 17779 18552 23190 30920 35558 46380 53337 71116 88895 92760 106674 142232 177790 213348 266685 355580 426696 533370 711160 1066740 2133480