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2130128 = 2472111319
BaseRepresentation
bin1000001000000011010000
311000012222122
420020003100
51021131003
6113353412
724051200
oct10100320
94005878
102130128
111225440
12868868
13597740
143d6400
152c1238
hex2080d0

2130128 has 120 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 725760.

The previous prime is 2130101. The next prime is 2130133. The reversal of 2130128 is 8210312.

2130128 is nontrivially palindromic in base 12.

It is a congruent number.

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, 112103 + ... + 112121.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

22130128 is an apocalyptic number.

2130128 is a gapful number since it is divisible by the number (28) 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 2130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2130128 is an abundant number, since it is smaller than the sum of its proper divisors (3806992).

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

2130128 is a wasteful number, since it uses less digits than its factorization.

2130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2130128 is about 1459.4958033513. The cubic root of 2130128 is about 128.6674123945.

The spelling of 2130128 in words is "two million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 49 52 56 76 77 88 91 98 104 112 133 143 152 154 176 182 196 208 209 247 266 286 304 308 364 392 418 494 532 539 572 616 637 728 784 836 931 988 1001 1064 1078 1144 1232 1274 1456 1463 1672 1729 1862 1976 2002 2128 2156 2288 2548 2717 2926 3344 3458 3724 3952 4004 4312 5096 5434 5852 6916 7007 7448 8008 8624 10192 10241 10868 11704 12103 13832 14014 14896 16016 19019 20482 21736 23408 24206 27664 28028 38038 40964 43472 48412 56056 76076 81928 96824 112112 133133 152152 163856 193648 266266 304304 532532 1065064 2130128