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65320020 = 2234561661
BaseRepresentation
bin1111100100101…
…1010001010100
311112220121020000
43321023101110
5113210220040
610252011300
71422132243
oct371132124
9145817200
1065320020
1133964997
1219a60b30
13106c05cc
14896495a
155b04130
hex3e4b454

65320020 has 120 divisors (see below), whose sum is σ = 208585608. Its totient is φ = 17107200.

The previous prime is 65319997. The next prime is 65320027. The reversal of 65320020 is 2002356.

65320020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2022084 + 63297936 = 1422^2 + 7956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 65319975 and 65320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65320027) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 98490 + ... + 99150.

Almost surely, 265320020 is an apocalyptic number.

65320020 is a gapful number since it is divisible by the number (60) 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 65320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104292804).

65320020 is an abundant number, since it is smaller than the sum of its proper divisors (143265588).

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

65320020 is a wasteful number, since it uses less digits than its factorization.

65320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 65320020 is about 8082.0801777760. The cubic root of 65320020 is about 402.7313485532.

Adding to 65320020 its reverse (2002356), we get a palindrome (67322376).

The spelling of 65320020 in words is "sixty-five million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 244 270 305 324 366 405 540 549 610 661 732 810 915 1098 1220 1322 1620 1647 1830 1983 2196 2644 2745 3294 3305 3660 3966 4941 5490 5949 6588 6610 7932 8235 9882 9915 10980 11898 13220 16470 17847 19764 19830 23796 24705 29745 32940 35694 39660 40321 49410 53541 59490 71388 80642 89235 98820 107082 118980 120963 161284 178470 201605 214164 241926 267705 356940 362889 403210 483852 535410 604815 725778 806420 1070820 1088667 1209630 1451556 1814445 2177334 2419260 3266001 3628890 4354668 5443335 6532002 7257780 10886670 13064004 16330005 21773340 32660010 65320020