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2873680 = 245172113
BaseRepresentation
bin1010111101100101010000
312101222221121
422331211100
51213424210
6141332024
733266035
oct12754520
95358847
102873680
111693047
12b67014
13798004
1454b38c
153bb6da
hex2bd950

2873680 has 40 divisors (see below), whose sum is σ = 7077672. Its totient is φ = 1081344.

The previous prime is 2873677. The next prime is 2873701. The reversal of 2873680 is 863782.

It is a happy number.

2873680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 2849344 = 156^2 + 1688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 2416.

22873680 is an apocalyptic number.

2873680 is a gapful number since it is divisible by the number (20) 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 2873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538836).

2873680 is an abundant number, since it is smaller than the sum of its proper divisors (4203992).

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

2873680 is a wasteful number, since it uses less digits than its factorization.

2873680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2873680 is about 1695.1932043280. The cubic root of 2873680 is about 142.1715838965.

It can be divided in two parts, 2873 and 680, that added together give a palindrome (3553).

The spelling of 2873680 in words is "two million, eight hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2113 4226 8452 10565 16904 21130 33808 35921 42260 71842 84520 143684 169040 179605 287368 359210 574736 718420 1436840 2873680