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2989040 = 24537363
BaseRepresentation
bin1011011001101111110000
312121212012012
423121233300
51231122130
6144022052
734256255
oct13315760
95555165
102989040
11176178a
121001928
13808682
1457b42c
153e0995
hex2d9bf0

2989040 has 20 divisors (see below), whose sum is σ = 6949704. Its totient is φ = 1195584.

The previous prime is 2989039. The next prime is 2989043. The reversal of 2989040 is 409892.

2989040 = T200 + T201 + ... + T295.

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

It is a super-3 number, since 3×29890403 = 80115479333601792000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2988988 and 2989006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18602 + ... + 18761.

22989040 is an apocalyptic number.

2989040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2989040 is an abundant number, since it is smaller than the sum of its proper divisors (3960664).

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

2989040 is a wasteful number, since it uses less digits than its factorization.

2989040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37376 (or 37370 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2989040 is about 1728.8840331266. The cubic root of 2989040 is about 144.0491087648.

The spelling of 2989040 in words is "two million, nine hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 37363 74726 149452 186815 298904 373630 597808 747260 1494520 2989040