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2151900 = 223352797
BaseRepresentation
bin1000001101010111011100
311001022212000
420031113130
51022330100
6114042300
724201522
oct10152734
94038760
102151900
11123a833
12879390
135a461a
14400312
152c7900
hex20d5dc

2151900 has 72 divisors (see below), whose sum is σ = 6926640. Its totient is φ = 573120.

The previous prime is 2151899. The next prime is 2151917. The reversal of 2151900 is 91512.

2151900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21519002 = 9261347220000, which contains 22 as substring.

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

It is a congruent number.

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, 2302 + ... + 3098.

22151900 is an apocalyptic number.

2151900 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 2151900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463320).

2151900 is an abundant number, since it is smaller than the sum of its proper divisors (4774740).

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

2151900 is a wasteful number, since it uses less digits than its factorization.

2151900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 2151900 is about 1466.9355814077. The cubic root of 2151900 is about 129.1042964001.

The spelling of 2151900 in words is "two million, one hundred fifty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 797 900 1350 1594 2391 2700 3188 3985 4782 7173 7970 9564 11955 14346 15940 19925 21519 23910 28692 35865 39850 43038 47820 59775 71730 79700 86076 107595 119550 143460 179325 215190 239100 358650 430380 537975 717300 1075950 2151900