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2127180 = 2235112293
BaseRepresentation
bin1000000111010101001100
311000001221110
420013111030
51021032210
6113332020
724036456
oct10072514
94001843
102127180
111223200
12867010
135962b3
143d52d6
152c0420
hex20754c

2127180 has 72 divisors (see below), whose sum is σ = 6569136. Its totient is φ = 513920.

The previous prime is 2127163. The next prime is 2127269. The reversal of 2127180 is 817212.

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, 7114 + ... + 7406.

It is an arithmetic number, because the mean of its divisors is an integer number (91238).

22127180 is an apocalyptic number.

2127180 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 2127180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284568).

2127180 is an abundant number, since it is smaller than the sum of its proper divisors (4441956).

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

2127180 is a wasteful number, since it uses less digits than its factorization.

2127180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2127180 is about 1458.4855158691. The cubic root of 2127180 is about 128.6080283810.

The spelling of 2127180 in words is "two million, one hundred twenty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 293 330 363 484 586 605 660 726 879 1172 1210 1452 1465 1758 1815 2420 2930 3223 3516 3630 4395 5860 6446 7260 8790 9669 12892 16115 17580 19338 32230 35453 38676 48345 64460 70906 96690 106359 141812 177265 193380 212718 354530 425436 531795 709060 1063590 2127180