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2133300 = 2235213547
BaseRepresentation
bin1000001000110100110100
311000101100010
420020310310
51021231200
6113420220
724063351
oct10106464
94011303
102133300
111227864
1286a670
13599010
143d7628
152c2150
hex208d34

2133300 has 72 divisors (see below), whose sum is σ = 6659296. Its totient is φ = 524160.

The previous prime is 2133293. The next prime is 2133311. The reversal of 2133300 is 33312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3627 + ... + 4173.

22133300 is an apocalyptic number.

2133300 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 2133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329648).

2133300 is an abundant number, since it is smaller than the sum of its proper divisors (4525996).

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

2133300 is a wasteful number, since it uses less digits than its factorization.

2133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2133300 is about 1460.5820757493. The cubic root of 2133300 is about 128.7312474652.

Adding to 2133300 its sum of digits (12), we get a palindrome (2133312).

Adding to 2133300 its reverse (33312), we get a palindrome (2166612).

The spelling of 2133300 in words is "two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 547 650 780 975 1094 1300 1641 1950 2188 2735 3282 3900 5470 6564 7111 8205 10940 13675 14222 16410 21333 27350 28444 32820 35555 41025 42666 54700 71110 82050 85332 106665 142220 164100 177775 213330 355550 426660 533325 711100 1066650 2133300