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2148360 = 233517903
BaseRepresentation
bin1000001100100000001000
311001010222220
420030200020
51022221420
6114014040
724155304
oct10144010
94033886
102148360
111238105
12877320
135a2b26
143dcd04
152c6840
hex20c808

2148360 has 32 divisors (see below), whose sum is σ = 6445440. Its totient is φ = 572864.

The previous prime is 2148353. The next prime is 2148373. The reversal of 2148360 is 638412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2148360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8832 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (201420).

22148360 is an apocalyptic number.

2148360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148360 is an abundant number, since it is smaller than the sum of its proper divisors (4297080).

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

2148360 is a wasteful number, since it uses less digits than its factorization.

2148360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17917 (or 17913 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2148360 is about 1465.7284878176. The cubic root of 2148360 is about 129.0334628651.

The spelling of 2148360 in words is "two million, one hundred forty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17903 35806 53709 71612 89515 107418 143224 179030 214836 268545 358060 429672 537090 716120 1074180 2148360