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2105120 = 25559223
BaseRepresentation
bin1000000001111100100000
310221221200102
420001330200
51014330440
6113041532
723615243
oct10017440
93857612
102105120
111208676
128562a8
13589244
143cb25a
152b8b15
hex201f20

2105120 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 824064.

The previous prime is 2105119. The next prime is 2105141. The reversal of 2105120 is 215012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9329 + ... + 9551.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22105120 is an apocalyptic number.

2105120 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 2105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2105120 is an abundant number, since it is smaller than the sum of its proper divisors (2975200).

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

2105120 is a wasteful number, since it uses less digits than its factorization.

2105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2105120 is about 1450.9031669963. The cubic root of 2105120 is about 128.1619044991.

The spelling of 2105120 in words is "two million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 223 236 295 446 472 590 892 944 1115 1180 1784 1888 2230 2360 3568 4460 4720 7136 8920 9440 13157 17840 26314 35680 52628 65785 105256 131570 210512 263140 421024 526280 1052560 2105120