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2133420 = 223531237
BaseRepresentation
bin1000001000110110101100
311000101111120
420020312230
51021232140
6113420540
724063612
oct10106654
94011446
102133420
111227963
1286a750
135990a3
143d76b2
152c21d0
hex208dac

2133420 has 72 divisors (see below), whose sum is σ = 6339312. Its totient is φ = 535680.

The previous prime is 2133413. The next prime is 2133427. The reversal of 2133420 is 243312.

It is an interprime number because it is at equal distance from previous prime (2133413) and next prime (2133427).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2133420.

It is not an unprimeable number, because it can be changed into a prime (2133427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57642 + ... + 57678.

It is an arithmetic number, because the mean of its divisors is an integer number (88046).

22133420 is an apocalyptic number.

2133420 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 2133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169656).

2133420 is an abundant number, since it is smaller than the sum of its proper divisors (4205892).

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

2133420 is a wasteful number, since it uses less digits than its factorization.

2133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2133420 is about 1460.6231546843. The cubic root of 2133420 is about 128.7336611685.

Adding to 2133420 its reverse (243312), we get a palindrome (2376732).

The spelling of 2133420 in words is "two million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 961 1110 1147 1860 1922 2220 2294 2883 3441 3844 4588 4805 5735 5766 6882 9610 11470 11532 13764 14415 17205 19220 22940 28830 34410 35557 57660 68820 71114 106671 142228 177785 213342 355570 426684 533355 711140 1066710 2133420