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2080120 = 2357171923
BaseRepresentation
bin111111011110101111000
310220200101111
413323311320
51013030440
6112330104
723452330
oct7736570
93820344
102080120
1111a0909
12843934
1357aa53
143c20c0
152b14ea
hex1fbd78

2080120 has 128 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 608256.

The previous prime is 2080081. The next prime is 2080121. The reversal of 2080120 is 210802.

2080120 = T134 + T135 + ... + T245.

It is a self number, because there is not a number n which added to its sum of digits gives 2080120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90429 + ... + 90451.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

22080120 is an apocalyptic number.

2080120 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 2080120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2080120 is an abundant number, since it is smaller than the sum of its proper divisors (4140680).

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

2080120 is a wasteful number, since it uses less digits than its factorization.

2080120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2080120 is about 1442.2621121003. The cubic root of 2080120 is about 127.6525407393.

Adding to 2080120 its reverse (210802), we get a palindrome (2290922).

The spelling of 2080120 in words is "two million, eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 23 28 34 35 38 40 46 56 68 70 76 85 92 95 115 119 133 136 140 152 161 170 184 190 230 238 266 280 322 323 340 380 391 437 460 476 532 595 644 646 665 680 760 782 805 874 920 952 1064 1190 1288 1292 1330 1564 1610 1615 1748 1955 2185 2261 2380 2584 2660 2737 3059 3128 3220 3230 3496 3910 4370 4522 4760 5320 5474 6118 6440 6460 7429 7820 8740 9044 10948 11305 12236 12920 13685 14858 15295 15640 17480 18088 21896 22610 24472 27370 29716 30590 37145 45220 52003 54740 59432 61180 74290 90440 104006 109480 122360 148580 208012 260015 297160 416024 520030 1040060 2080120