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2001120 = 253511379
BaseRepresentation
bin111101000100011100000
310202200000120
413220203200
51003013440
6110520240
723003112
oct7504340
93680016
102001120
111147520
12806080
13550ac4
143a13b2
15297dd0
hex1e88e0

2001120 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 483840.

The previous prime is 2001101. The next prime is 2001127. The reversal of 2001120 is 211002.

Adding to 2001120 its reverse (211002), we get a palindrome (2212122).

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2001099 and 2001108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5091 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22001120 is an apocalyptic number.

2001120 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 2001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2001120 is an abundant number, since it is smaller than the sum of its proper divisors (4893600).

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

2001120 is a wasteful number, since it uses less digits than its factorization.

2001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001120 is about 1414.6094867489. The cubic root of 2001120 is about 126.0156191270.

The spelling of 2001120 in words is "two million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 379 440 480 528 660 758 880 1056 1137 1320 1516 1760 1895 2274 2640 3032 3790 4169 4548 5280 5685 6064 7580 8338 9096 11370 12128 12507 15160 16676 18192 20845 22740 25014 30320 33352 36384 41690 45480 50028 60640 62535 66704 83380 90960 100056 125070 133408 166760 181920 200112 250140 333520 400224 500280 667040 1000560 2001120