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2083880 = 23559883
BaseRepresentation
bin111111100110000101000
310220212112202
413330300220
51013141010
6112355332
723466311
oct7746050
93825482
102083880
1111a3717
12845b48
1357c686
143c3608
152b26a5
hex1fcc28

2083880 has 32 divisors (see below), whose sum is σ = 4773600. Its totient is φ = 818496.

The previous prime is 2083867. The next prime is 2083883. The reversal of 2083880 is 883802.

It is not an unprimeable number, because it can be changed into a prime (2083883) 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, 1919 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

22083880 is an apocalyptic number.

2083880 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 2083880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386800).

2083880 is an abundant number, since it is smaller than the sum of its proper divisors (2689720).

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

2083880 is a wasteful number, since it uses less digits than its factorization.

2083880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2083880 is about 1443.5650314413. The cubic root of 2083880 is about 127.7294088439.

The spelling of 2083880 in words is "two million, eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 883 1180 1766 2360 3532 4415 7064 8830 17660 35320 52097 104194 208388 260485 416776 520970 1041940 2083880