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65332020 = 223513217379
BaseRepresentation
bin1111100100111…
…0001100110100
311112221012200110
43321032030310
5113211111040
610252143020
71422212235
oct371161464
9145835613
1065332020
1133972a06
1219a67a70
13106c5c00
14896908c
155b07980
hex3e4e334

65332020 has 144 divisors (see below), whose sum is σ = 210288960. Its totient is φ = 15095808.

The previous prime is 65332019. The next prime is 65332027. The reversal of 65332020 is 2023356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65332027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172191 + ... + 172569.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 265332020 is an apocalyptic number.

65332020 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 65332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144480).

65332020 is an abundant number, since it is smaller than the sum of its proper divisors (144956940).

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

65332020 is a wasteful number, since it uses less digits than its factorization.

65332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 65332020 is about 8082.8225268157. The cubic root of 65332020 is about 402.7560090899.

Adding to 65332020 its reverse (2023356), we get a palindrome (67355376).

The spelling of 65332020 in words is "sixty-five million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 379 390 442 507 510 663 676 758 780 845 884 1014 1020 1105 1137 1326 1516 1690 1895 2028 2210 2274 2535 2652 2873 3315 3380 3790 4420 4548 4927 5070 5685 5746 6443 6630 7580 8619 9854 10140 11370 11492 12886 13260 14365 14781 17238 19329 19708 22740 24635 25772 28730 29562 32215 34476 38658 43095 49270 57460 59124 64051 64430 73905 77316 83759 86190 96645 98540 128102 128860 147810 167518 172380 192153 193290 251277 256204 295620 320255 335036 384306 386580 418795 502554 640510 768612 837590 960765 1005108 1088867 1256385 1281020 1675180 1921530 2177734 2512770 3266601 3843060 4355468 5025540 5444335 6533202 10888670 13066404 16333005 21777340 32666010 65332020