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65300040 = 23335134651
BaseRepresentation
bin1111100100011…
…0011001001000
311112212120211000
43321012121020
5113204100130
610251335000
71422020061
oct371063110
9145776730
1065300040
1133950983
1219a51460
13106b44a0
14895b568
155aed260
hex3e46648

65300040 has 128 divisors (see below), whose sum is σ = 234460800. Its totient is φ = 16070400.

The previous prime is 65300029. The next prime is 65300063. The reversal of 65300040 is 4000356.

It is a happy number.

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 = 65299986 and 65300022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11715 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (1831725).

Almost surely, 265300040 is an apocalyptic number.

65300040 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 65300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117230400).

65300040 is an abundant number, since it is smaller than the sum of its proper divisors (169160760).

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

65300040 is a wasteful number, since it uses less digits than its factorization.

65300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4674 counting only the distinct ones).

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

The square root of 65300040 is about 8080.8440153241. The cubic root of 65300040 is about 402.6902820577.

Adding to 65300040 its reverse (4000356), we get a palindrome (69300396).

The spelling of 65300040 in words is "sixty-five million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4651 4680 7020 9302 13953 14040 18604 23255 27906 37208 41859 46510 55812 60463 69765 83718 93020 111624 120926 125577 139530 167436 181389 186040 209295 241852 251154 279060 302315 334872 362778 418590 483704 502308 544167 558120 604630 627885 725556 837180 906945 1004616 1088334 1209260 1255770 1451112 1632501 1674360 1813890 2176668 2418520 2511540 2720835 3265002 3627780 4353336 5023080 5441670 6530004 7255560 8162505 10883340 13060008 16325010 21766680 32650020 65300040