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2166480 = 243351759
BaseRepresentation
bin1000010000111011010000
311002001212000
420100323100
51023311410
6114234000
724262161
oct10207320
94061760
102166480
11124a788
12885900
135ab154
14405768
152cbdc0
hex210ed0

2166480 has 160 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 534528.

The previous prime is 2166467. The next prime is 2166509. The reversal of 2166480 is 846612.

2166480 is a `hidden beast` number, since 2 + 16 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 36691 + ... + 36749.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

22166480 is an apocalyptic number.

2166480 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 2166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2166480 is an abundant number, since it is smaller than the sum of its proper divisors (5868720).

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

2166480 is a wasteful number, since it uses less digits than its factorization.

2166480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2166480 is about 1471.8967355083. The cubic root of 2166480 is about 129.3952184322.

The spelling of 2166480 in words is "two million, one hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 59 60 68 72 80 85 90 102 108 118 120 135 136 144 153 170 177 180 204 216 236 240 255 270 272 295 306 340 354 360 408 432 459 472 510 531 540 590 612 680 708 720 765 816 885 918 944 1003 1020 1062 1080 1180 1224 1360 1416 1530 1593 1770 1836 2006 2040 2124 2160 2295 2360 2448 2655 2832 3009 3060 3186 3540 3672 4012 4080 4248 4590 4720 5015 5310 6018 6120 6372 7080 7344 7965 8024 8496 9027 9180 10030 10620 12036 12240 12744 14160 15045 15930 16048 18054 18360 20060 21240 24072 25488 27081 30090 31860 36108 36720 40120 42480 45135 48144 54162 60180 63720 72216 80240 90270 108324 120360 127440 135405 144432 180540 216648 240720 270810 361080 433296 541620 722160 1083240 2166480