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2287980 = 2233519223
BaseRepresentation
bin1000101110100101101100
311022020112000
420232211230
51041203410
6121012300
725306332
oct10564554
94266460
102287980
111322aa2
12924090
13621546
14437b52
15302dc0
hex22e96c

2287980 has 96 divisors (see below), whose sum is σ = 7526400. Its totient is φ = 575424.

The previous prime is 2287973. The next prime is 2287991. The reversal of 2287980 is 897822.

2287980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22879803 = 35931713334316776000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10149 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (78400).

22287980 is an apocalyptic number.

2287980 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 2287980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763200).

2287980 is an abundant number, since it is smaller than the sum of its proper divisors (5238420).

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

2287980 is a wasteful number, since it uses less digits than its factorization.

2287980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2287980 is about 1512.6070210071. The cubic root of 2287980 is about 131.7702615423.

The spelling of 2287980 in words is "two million, two hundred eighty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 223 228 270 285 342 380 446 513 540 570 669 684 855 892 1026 1115 1140 1338 1710 2007 2052 2230 2565 2676 3345 3420 4014 4237 4460 5130 6021 6690 8028 8474 10035 10260 12042 12711 13380 16948 20070 21185 24084 25422 30105 38133 40140 42370 50844 60210 63555 76266 84740 114399 120420 127110 152532 190665 228798 254220 381330 457596 571995 762660 1143990 2287980