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2069680 = 24541631
BaseRepresentation
bin111111001010010110000
310220011001211
413321102300
51012212210
6112205504
723410024
oct7712260
93804054
102069680
111193a88
12839894
13576082
143bc384
152ad38a
hex1f94b0

2069680 has 40 divisors (see below), whose sum is σ = 4937184. Its totient is φ = 806400.

The previous prime is 2069671. The next prime is 2069681. The reversal of 2069680 is 869602.

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

It is not an unprimeable number, because it can be changed into a prime (2069681) 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, 2965 + ... + 3595.

22069680 is an apocalyptic number.

2069680 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 2069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468592).

2069680 is an abundant number, since it is smaller than the sum of its proper divisors (2867504).

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

2069680 is a wasteful number, since it uses less digits than its factorization.

2069680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2069680 is about 1438.6382450081. The cubic root of 2069680 is about 127.4386222585.

The spelling of 2069680 in words is "two million, sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 631 656 820 1262 1640 2524 3155 3280 5048 6310 10096 12620 25240 25871 50480 51742 103484 129355 206968 258710 413936 517420 1034840 2069680