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201980520 = 23335726717
BaseRepresentation
bin11000000100111…
…11101001101000
3112002001200012000
430002133221220
5403201334040
632013051000
75001543330
oct1402375150
9462050160
10201980520
11a4015a55
1257786a60
1332acb901
141cb7a0c0
1512aeb130
hexc09fa68

201980520 has 128 divisors (see below), whose sum is σ = 769478400. Its totient is φ = 46165248.

The previous prime is 201980501. The next prime is 201980539. The reversal of 201980520 is 25089102.

It is an interprime number because it is at equal distance from previous prime (201980501) and next prime (201980539).

It is a super-2 number, since 2×2019805202 = 81592260918940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5799 + ... + 20918.

It is an arithmetic number, because the mean of its divisors is an integer number (6011550).

Almost surely, 2201980520 is an apocalyptic number.

201980520 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 201980520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384739200).

201980520 is an abundant number, since it is smaller than the sum of its proper divisors (567497880).

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

201980520 is a wasteful number, since it uses less digits than its factorization.

201980520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744 (or 26734 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 201980520 is about 14211.9850830206. The cubic root of 201980520 is about 586.7275691480.

It can be divided in two parts, 201980 and 520, that added together give a square (202500 = 4502).

The spelling of 201980520 in words is "two hundred one million, nine hundred eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 26717 53434 80151 106868 133585 160302 187019 213736 240453 267170 320604 374038 400755 480906 534340 561057 641208 721359 748076 801510 935095 961812 1068680 1122114 1202265 1442718 1496152 1603020 1683171 1870190 1923624 2244228 2404530 2805285 2885436 3206040 3366342 3606795 3740380 4488456 4809060 5049513 5610570 5770872 6732684 7213590 7480760 8415855 9618120 10099026 11221140 13465368 14427180 16831710 20198052 22442280 25247565 28854360 33663420 40396104 50495130 67326840 100990260 201980520