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2380872 = 233132587
BaseRepresentation
bin1001000101010001001000
311110221221110
421011101020
51102141442
6123010320
726144214
oct11052110
94427843
102380872
11138686a
129699a0
13654900
1445d944
1532069c
hex245448

2380872 has 48 divisors (see below), whose sum is σ = 6456240. Its totient is φ = 731328.

The previous prime is 2380853. The next prime is 2380877. The reversal of 2380872 is 2780832.

It is a d-powerful number, because it can be written as 22 + 313 + 82 + 0 + 86 + 72 + 219 .

It is not an unprimeable number, because it can be changed into a prime (2380877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3763 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (134505).

22380872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228120).

2380872 is an abundant number, since it is smaller than the sum of its proper divisors (4075368).

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

2380872 is a wasteful number, since it uses less digits than its factorization.

2380872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2380872 is about 1543.0074529956. The cubic root of 2380872 is about 133.5299488140.

The spelling of 2380872 in words is "two million, three hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 587 676 1014 1174 1352 1761 2028 2348 3522 4056 4696 7044 7631 14088 15262 22893 30524 45786 61048 91572 99203 183144 198406 297609 396812 595218 793624 1190436 2380872