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2380672 = 2772657
BaseRepresentation
bin1001000101001110000000
311110221200001
421011032000
51102140142
6123005344
726143510
oct11051600
94427601
102380672
1113866a8
12969854
136547a8
1445d840
153205b7
hex245380

2380672 has 32 divisors (see below), whose sum is σ = 5422320. Its totient is φ = 1019904.

The previous prime is 2380667. The next prime is 2380673. The reversal of 2380672 is 2760832.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2380672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380673) 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 3 ways as a sum of consecutive naturals, for example, 433 + ... + 2224.

22380672 is an apocalyptic number.

It is an amenable number.

2380672 is an abundant number, since it is smaller than the sum of its proper divisors (3041648).

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

2380672 is an equidigital number, since it uses as much as digits as its factorization.

2380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2380672 is about 1542.9426431336. The cubic root of 2380672 is about 133.5262097445.

The spelling of 2380672 in words is "two million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 2657 5314 10628 18599 21256 37198 42512 74396 85024 148792 170048 297584 340096 595168 1190336 2380672