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2880036 = 22352963
BaseRepresentation
bin1010111111001000100100
312102022200000
422333020210
51214130121
6141421300
733323415
oct12771044
95368600
102880036
1116978a5
12b6a830
1379ab83
1454d80c
153bd526
hex2bf224

2880036 has 36 divisors (see below), whose sum is σ = 7552272. Its totient is φ = 959688.

The previous prime is 2880029. The next prime is 2880041. The reversal of 2880036 is 6300882.

2880036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×28800362 = 16589214722592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2879991 and 2880009.

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 11 ways as a sum of consecutive naturals, for example, 510 + ... + 2453.

22880036 is an apocalyptic number.

It is an amenable number.

2880036 is an abundant number, since it is smaller than the sum of its proper divisors (4672236).

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

2880036 is a wasteful number, since it uses less digits than its factorization.

2880036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2880036 is about 1697.0668814163. The cubic root of 2880036 is about 142.2763249927.

The spelling of 2880036 in words is "two million, eight hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2963 5926 8889 11852 17778 26667 35556 53334 80001 106668 160002 240003 320004 480006 720009 960012 1440018 2880036