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2020320 = 253252361
BaseRepresentation
bin111101101001111100000
310210122100200
413231033200
51004122240
6111145200
723113101
oct7551740
93718320
102020320
11115a995
12815200
13559773
143a83a8
1529d930
hex1ed3e0

2020320 has 144 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 506880.

The previous prime is 2020313. The next prime is 2020321. The reversal of 2020320 is 230202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33090 + ... + 33150.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

22020320 is an apocalyptic number.

2020320 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 2020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2020320 is an abundant number, since it is smaller than the sum of its proper divisors (5291712).

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

2020320 is a wasteful number, since it uses less digits than its factorization.

2020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2020320 is about 1421.3796115043. The cubic root of 2020320 is about 126.4173612856.

Adding to 2020320 its reverse (230202), we get a palindrome (2250522).

The spelling of 2020320 in words is "two million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 61 69 72 80 90 92 96 115 120 122 138 144 160 180 183 184 207 230 240 244 276 288 305 345 360 366 368 414 460 480 488 549 552 610 690 720 732 736 828 915 920 976 1035 1098 1104 1220 1380 1403 1440 1464 1656 1830 1840 1952 2070 2196 2208 2440 2745 2760 2806 2928 3312 3660 3680 4140 4209 4392 4880 5490 5520 5612 5856 6624 7015 7320 8280 8418 8784 9760 10980 11040 11224 12627 14030 14640 16560 16836 17568 21045 21960 22448 25254 28060 29280 33120 33672 42090 43920 44896 50508 56120 63135 67344 84180 87840 101016 112240 126270 134688 168360 202032 224480 252540 336720 404064 505080 673440 1010160 2020320