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2103840 = 25335487
BaseRepresentation
bin1000000001101000100000
310221212221000
420001220200
51014310330
6113032000
723611434
oct10015040
93855830
102103840
111207712
12855600
1358879b
143ca9c4
152b8560
hex201a20

2103840 has 96 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 559872.

The previous prime is 2103839. The next prime is 2103859. The reversal of 2103840 is 483012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21038402 = 8852285491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077 + ... + 4563.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

22103840 is an apocalyptic number.

2103840 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 2103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2103840 is an abundant number, since it is smaller than the sum of its proper divisors (5274720).

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

2103840 is a wasteful number, since it uses less digits than its factorization.

2103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2103840 is about 1450.4619953656. The cubic root of 2103840 is about 128.1359233201.

Adding to 2103840 its reverse (483012), we get a palindrome (2586852).

The spelling of 2103840 in words is "two million, one hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 487 540 720 864 974 1080 1440 1461 1948 2160 2435 2922 3896 4320 4383 4870 5844 7305 7792 8766 9740 11688 13149 14610 15584 17532 19480 21915 23376 26298 29220 35064 38960 43830 46752 52596 58440 65745 70128 77920 87660 105192 116880 131490 140256 175320 210384 233760 262980 350640 420768 525960 701280 1051920 2103840