Search a number
-
+
2010020320 = 255711163151
BaseRepresentation
bin111011111001110…
…0111100111100000
312012002012121112001
41313303213213200
513104031122240
6531241413344
7100544614360
oct16763474740
95162177461
102010020320
11941671020
1248119a254
13260575249
14150d469a0
15bb6e189a
hex77ce79e0

2010020320 has 96 divisors (see below), whose sum is σ = 5920459776. Its totient is φ = 626496000.

The previous prime is 2010020269. The next prime is 2010020351. The reversal of 2010020320 is 230200102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2010020297 and 2010020306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69256 + ... + 93895.

It is an arithmetic number, because the mean of its divisors is an integer number (61671456).

Almost surely, 22010020320 is an apocalyptic number.

2010020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010020320 is an abundant number, since it is smaller than the sum of its proper divisors (3910439456).

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

2010020320 is a wasteful number, since it uses less digits than its factorization.

2010020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163184 (or 163176 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2010020320 is about 44833.2501610133. The cubic root of 2010020320 is about 1262.0216809742.

Adding to 2010020320 its reverse (230200102), we get a palindrome (2240220422).

The spelling of 2010020320 in words is "two billion, ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 163151 326302 652604 815755 1142057 1305208 1631510 1794661 2284114 2610416 3263020 3589322 4568228 5220832 5710285 6526040 7178644 8973305 9136456 11420570 12562627 13052080 14357288 17946610 18272912 22841140 25125254 26104160 28714576 35893220 36545824 45682280 50250508 57429152 62813135 71786440 91364560 100501016 125626270 143572880 182729120 201002032 251252540 287145760 402004064 502505080 1005010160 2010020320