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2133900 = 2232522371
BaseRepresentation
bin1000001000111110001100
311000102011100
420020332030
51021241100
6113423100
724065166
oct10107614
94012140
102133900
11122825a
1286aa90
13599382
143d7936
152c2400
hex208f8c

2133900 has 54 divisors (see below), whose sum is σ = 6691412. Its totient is φ = 568800.

The previous prime is 2133899. The next prime is 2133949. The reversal of 2133900 is 93312.

2133900 = T384 + T385 + ... + T410.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 286 + ... + 2085.

22133900 is an apocalyptic number.

2133900 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 2133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345706).

2133900 is an abundant number, since it is smaller than the sum of its proper divisors (4557512).

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

2133900 is a wasteful number, since it uses less digits than its factorization.

2133900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133900 is about 1460.7874588728. The cubic root of 2133900 is about 128.7433150769.

The spelling of 2133900 in words is "two million, one hundred thirty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2371 4742 7113 9484 11855 14226 21339 23710 28452 35565 42678 47420 59275 71130 85356 106695 118550 142260 177825 213390 237100 355650 426780 533475 711300 1066950 2133900