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2082920 = 235743173
BaseRepresentation
bin111111100100001101000
310220211020012
413330201220
51013123140
6112351052
723463440
oct7744150
93824205
102082920
1111a2a24
12845488
1357c0c8
143c3120
152b2265
hex1fc868

2082920 has 64 divisors (see below), whose sum is σ = 5512320. Its totient is φ = 693504.

The previous prime is 2082917. The next prime is 2082947. The reversal of 2082920 is 292802.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11954 + ... + 12126.

It is an arithmetic number, because the mean of its divisors is an integer number (86130).

22082920 is an apocalyptic number.

2082920 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 2082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756160).

2082920 is an abundant number, since it is smaller than the sum of its proper divisors (3429400).

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

2082920 is a wasteful number, since it uses less digits than its factorization.

2082920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2082920 is about 1443.2324830047. The cubic root of 2082920 is about 127.7097917408.

The spelling of 2082920 in words is "two million, eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 173 215 280 301 344 346 430 602 692 860 865 1204 1211 1384 1505 1720 1730 2408 2422 3010 3460 4844 6020 6055 6920 7439 9688 12040 12110 14878 24220 29756 37195 48440 52073 59512 74390 104146 148780 208292 260365 297560 416584 520730 1041460 2082920