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2130480 = 2432511269
BaseRepresentation
bin1000001000001000110000
311000020110200
420020020300
51021133410
6113355200
724052212
oct10101060
94006420
102130480
111225730
12868b00
13597951
143d65b2
152c13c0
hex208230

2130480 has 120 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 514560.

The previous prime is 2130473. The next prime is 2130493. The reversal of 2130480 is 840312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 7786 + ... + 8054.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

22130480 is an apocalyptic number.

2130480 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 2130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2130480 is an abundant number, since it is smaller than the sum of its proper divisors (5703840).

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

2130480 is a wasteful number, since it uses less digits than its factorization.

2130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2130480 is about 1459.6163879595. The cubic root of 2130480 is about 128.6744993606.

Adding to 2130480 its reverse (840312), we get a palindrome (2970792).

The spelling of 2130480 in words is "two million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 269 330 360 396 440 495 528 538 660 720 792 807 880 990 1076 1320 1345 1584 1614 1980 2152 2421 2640 2690 2959 3228 3960 4035 4304 4842 5380 5918 6456 7920 8070 8877 9684 10760 11836 12105 12912 14795 16140 17754 19368 21520 23672 24210 26631 29590 32280 35508 38736 44385 47344 48420 53262 59180 64560 71016 88770 96840 106524 118360 133155 142032 177540 193680 213048 236720 266310 355080 426096 532620 710160 1065240 2130480