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2127300 = 2235271013
BaseRepresentation
bin1000000111010111000100
311000002002220
420013113010
51021033200
6113332340
724040020
oct10072704
94002086
102127300
1112232aa
128670b0
13596376
143d5380
152c04a0
hex2075c4

2127300 has 72 divisors (see below), whose sum is σ = 7041216. Its totient is φ = 485760.

The previous prime is 2127299. The next prime is 2127319. The reversal of 2127300 is 37212.

2127300 = 112 + 122 + ... + 1852.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2127300.

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, 1594 + ... + 2606.

22127300 is an apocalyptic number.

2127300 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 2127300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520608).

2127300 is an abundant number, since it is smaller than the sum of its proper divisors (4913916).

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

2127300 is a wasteful number, since it uses less digits than its factorization.

2127300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2127300 is about 1458.5266538531. The cubic root of 2127300 is about 128.6104467116.

The spelling of 2127300 in words is "two million, one hundred twenty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1013 1050 2026 2100 3039 4052 5065 6078 7091 10130 12156 14182 15195 20260 21273 25325 28364 30390 35455 42546 50650 60780 70910 75975 85092 101300 106365 141820 151950 177275 212730 303900 354550 425460 531825 709100 1063650 2127300