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2160864 = 25334161
BaseRepresentation
bin1000001111100011100000
311001210011000
420033203200
51023121424
6114152000
724236616
oct10174340
94053130
102160864
111246542
12882600
135a8724
144036b6
152ca3c9
hex20f8e0

2160864 has 96 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 691200.

The previous prime is 2160857. The next prime is 2160881. The reversal of 2160864 is 4680612.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 35394 + ... + 35454.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

22160864 is an apocalyptic number.

2160864 is a gapful number since it is divisible by the number (24) 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 2160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2160864 is an abundant number, since it is smaller than the sum of its proper divisors (4401216).

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

2160864 is a wasteful number, since it uses less digits than its factorization.

2160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

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

The square root of 2160864 is about 1469.9877550510. The cubic root of 2160864 is about 129.2833145819.

The spelling of 2160864 in words is "two million, one hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 61 72 82 96 108 122 123 144 164 183 216 244 246 288 328 366 369 432 488 492 549 656 732 738 864 976 984 1098 1107 1312 1464 1476 1647 1952 1968 2196 2214 2501 2928 2952 3294 3936 4392 4428 5002 5856 5904 6588 7503 8784 8856 10004 11808 13176 15006 17568 17712 20008 22509 26352 30012 35424 40016 45018 52704 60024 67527 80032 90036 120048 135054 180072 240096 270108 360144 540216 720288 1080432 2160864