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2130320 = 24531859
BaseRepresentation
bin1000001000000110010000
311000020020202
420020012100
51021132240
6113354332
724051563
oct10100620
94006222
102130320
1112255a5
128689a8
1359785a
143d64da
152c1315
hex208190

2130320 has 40 divisors (see below), whose sum is σ = 5118720. Its totient is φ = 823680.

The previous prime is 2130307. The next prime is 2130341. The reversal of 2130320 is 230312.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (127968).

22130320 is an apocalyptic number.

2130320 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 2130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559360).

2130320 is an abundant number, since it is smaller than the sum of its proper divisors (2988400).

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

2130320 is a wasteful number, since it uses less digits than its factorization.

2130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2130320 is about 1459.5615780090. The cubic root of 2130320 is about 128.6712781092.

Adding to 2130320 its reverse (230312), we get a palindrome (2360632).

The spelling of 2130320 in words is "two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 859 1240 1718 2480 3436 4295 6872 8590 13744 17180 26629 34360 53258 68720 106516 133145 213032 266290 426064 532580 1065160 2130320