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2070120 = 2335131327
BaseRepresentation
bin111111001011001101000
310220011200010
413321121220
51012220440
6112211520
723411223
oct7713150
93804603
102070120
111194348
12839ba0
13576330
143bc5ba
152ad580
hex1f9668

2070120 has 64 divisors (see below), whose sum is σ = 6693120. Its totient is φ = 509184.

The previous prime is 2070091. The next prime is 2070137. The reversal of 2070120 is 210702.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2070096 and 2070105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (104580).

22070120 is an apocalyptic number.

2070120 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 2070120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346560).

2070120 is an abundant number, since it is smaller than the sum of its proper divisors (4623000).

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

2070120 is a wasteful number, since it uses less digits than its factorization.

2070120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2070120 is about 1438.7911592723. The cubic root of 2070120 is about 127.4476524822.

Adding to 2070120 its reverse (210702), we get a palindrome (2280822).

The spelling of 2070120 in words is "two million, seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1327 1560 2654 3981 5308 6635 7962 10616 13270 15924 17251 19905 26540 31848 34502 39810 51753 53080 69004 79620 86255 103506 138008 159240 172510 207012 258765 345020 414024 517530 690040 1035060 2070120