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2146300 = 2252132127
BaseRepresentation
bin1000001011111111111100
311001001011121
420023333330
51022140200
6114000324
724146302
oct10137774
94031147
102146300
111236602
128760a4
135a1c00
143dc272
152c5e1a
hex20bffc

2146300 has 54 divisors (see below), whose sum is σ = 5083008. Its totient is φ = 786240.

The previous prime is 2146289. The next prime is 2146303. The reversal of 2146300 is 36412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16837 + ... + 16963.

22146300 is an apocalyptic number.

2146300 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 2146300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541504).

2146300 is an abundant number, since it is smaller than the sum of its proper divisors (2936708).

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

2146300 is a wasteful number, since it uses less digits than its factorization.

2146300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2146300 is about 1465.0255970460. The cubic root of 2146300 is about 128.9922075296.

The spelling of 2146300 in words is "two million, one hundred forty-six thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 127 130 169 254 260 325 338 508 635 650 676 845 1270 1300 1651 1690 2540 3175 3302 3380 4225 6350 6604 8255 8450 12700 16510 16900 21463 33020 41275 42926 82550 85852 107315 165100 214630 429260 536575 1073150 2146300