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2130282 = 2327112953
BaseRepresentation
bin1000001000000101101010
311000020012100
420020011222
51021132112
6113354230
724051510
oct10100552
94006170
102130282
111225570
12868976
1359782b
143d64b0
152c12dc
hex20816a

2130282 has 96 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 524160.

The previous prime is 2130269. The next prime is 2130307. The reversal of 2130282 is 2820312.

It is a happy number.

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 (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40168 + ... + 40220.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

22130282 is an apocalyptic number.

2130282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2130282 is an abundant number, since it is smaller than the sum of its proper divisors (3934998).

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

2130282 is a wasteful number, since it uses less digits than its factorization.

2130282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

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

The square root of 2130282 is about 1459.5485603432. The cubic root of 2130282 is about 128.6705130382.

Adding to 2130282 its reverse (2820312), we get a palindrome (4950594).

It can be divided in two parts, 21 and 30282, that added together give a palindrome (30303).

The spelling of 2130282 in words is "two million, one hundred thirty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 53 58 63 66 77 87 99 106 126 154 159 174 198 203 231 261 318 319 371 406 462 477 522 583 609 638 693 742 954 957 1113 1166 1218 1386 1537 1749 1827 1914 2226 2233 2871 3074 3339 3498 3654 4081 4466 4611 5247 5742 6678 6699 8162 9222 10494 10759 12243 13398 13833 16907 20097 21518 24486 27666 32277 33814 36729 40194 50721 64554 73458 96831 101442 118349 152163 193662 236698 304326 355047 710094 1065141 2130282