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2071300 = 2252711269
BaseRepresentation
bin111111001101100000100
310220020021211
413321230010
51012240200
6112221204
723414530
oct7715404
93806254
102071300
111195220
1283a804
13576a2a
143bcbc0
152adaba
hex1f9b04

2071300 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 643200.

The previous prime is 2071291. The next prime is 2071319. The reversal of 2071300 is 31702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7566 + ... + 7834.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22071300 is an apocalyptic number.

2071300 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 2071300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2071300 is an abundant number, since it is smaller than the sum of its proper divisors (3553340).

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

2071300 is a wasteful number, since it uses less digits than its factorization.

2071300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 2071300 is about 1439.2011673147. The cubic root of 2071300 is about 127.4718635850.

The spelling of 2071300 in words is "two million, seventy-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 269 275 308 350 385 538 550 700 770 1076 1100 1345 1540 1883 1925 2690 2959 3766 3850 5380 5918 6725 7532 7700 9415 11836 13450 14795 18830 20713 26900 29590 37660 41426 47075 59180 73975 82852 94150 103565 147950 188300 207130 295900 414260 517825 1035650 2071300