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2028180 = 2235711439
BaseRepresentation
bin111101111001010010100
310211001010210
413233022110
51004400210
6111245420
723145030
oct7571224
93731123
102028180
111165890
12819870
1356020b
143ab1c0
152a0e20
hex1ef294

2028180 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 420480.

The previous prime is 2028179. The next prime is 2028197. The reversal of 2028180 is 818202.

It is a super-2 number, since 2×20281802 = 8227028224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4401 + ... + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

22028180 is an apocalyptic number.

2028180 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 2028180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2028180 is an abundant number, since it is smaller than the sum of its proper divisors (5068140).

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

2028180 is a wasteful number, since it uses less digits than its factorization.

2028180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2028180 is about 1424.1418468678. The cubic root of 2028180 is about 126.5810902429.

2028180 divided by its sum of digits (21) gives a triangular number (96580 = T439).

The spelling of 2028180 in words is "two million, twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 439 462 660 770 878 924 1155 1317 1540 1756 2195 2310 2634 3073 4390 4620 4829 5268 6146 6585 8780 9219 9658 12292 13170 14487 15365 18438 19316 24145 26340 28974 30730 33803 36876 46095 48290 57948 61460 67606 72435 92190 96580 101409 135212 144870 169015 184380 202818 289740 338030 405636 507045 676060 1014090 2028180