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2380880 = 24529761
BaseRepresentation
bin1001000101010001010000
311110221221202
421011101100
51102142010
6123010332
726144225
oct11052120
94427852
102380880
111386877
129699a8
13654908
1445d94c
153206a5
hex245450

2380880 has 20 divisors (see below), whose sum is σ = 5535732. Its totient is φ = 952320.

The previous prime is 2380877. The next prime is 2380897. The reversal of 2380880 is 880832.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 1784896 = 772^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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, 14801 + ... + 14960.

22380880 is an apocalyptic number.

2380880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2380880 is an abundant number, since it is smaller than the sum of its proper divisors (3154852).

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

2380880 is a wasteful number, since it uses less digits than its factorization.

2380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29774 (or 29768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2380880 is about 1543.0100453335. The cubic root of 2380880 is about 133.5300983724.

The spelling of 2380880 in words is "two million, three hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29761 59522 119044 148805 238088 297610 476176 595220 1190440 2380880