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2880704 = 261923103
BaseRepresentation
bin1010111111010011000000
312102100120202
422333103000
51214140304
6141424332
733325361
oct12772300
95370522
102880704
111698352
12b6b0a8
1379b278
1454db68
153bd81e
hex2bf4c0

2880704 has 56 divisors (see below), whose sum is σ = 6339840. Its totient is φ = 1292544.

The previous prime is 2880671. The next prime is 2880707. The reversal of 2880704 is 4070882.

2880704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2880707) by changing a digit.

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, 27917 + ... + 28019.

22880704 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 2880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169920).

2880704 is an abundant number, since it is smaller than the sum of its proper divisors (3459136).

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

2880704 is a wasteful number, since it uses less digits than its factorization.

2880704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2880704 is about 1697.2636801629. The cubic root of 2880704 is about 142.2873240726.

The spelling of 2880704 in words is "two million, eight hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 103 152 184 206 304 368 412 437 608 736 824 874 1216 1472 1648 1748 1957 2369 3296 3496 3914 4738 6592 6992 7828 9476 13984 15656 18952 27968 31312 37904 45011 62624 75808 90022 125248 151616 180044 360088 720176 1440352 2880704