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65304980 = 2251321392
BaseRepresentation
bin1111100100011…
…1100110010100
311112212211120222
43321013212110
5113204224410
610251413512
71422040346
oct371074624
9145784528
1065304980
1133954664
1219a54298
13106b6800
14895d296
155aee955
hex3e47994

65304980 has 54 divisors (see below), whose sum is σ = 149577246. Its totient is φ = 23939136.

The previous prime is 65304979. The next prime is 65304983. The reversal of 65304980 is 8940356.

It can be written as a sum of positive squares in 3 ways, for example, as 309136 + 64995844 = 556^2 + 8062^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 65304980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65304983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 469751 + ... + 469889.

It is an arithmetic number, because the mean of its divisors is an integer number (2769949).

Almost surely, 265304980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65304980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74788623).

65304980 is an abundant number, since it is smaller than the sum of its proper divisors (84272266).

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

65304980 is a wasteful number, since it uses less digits than its factorization.

65304980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 65304980 is about 8081.1496706842. The cubic root of 65304980 is about 402.7004364151.

Multiplying 65304980 by its product of nonzero digits (25920), we get a square (1692705081600 = 13010402).

The spelling of 65304980 in words is "sixty-five million, three hundred four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 169 260 278 338 556 676 695 845 1390 1690 1807 2780 3380 3614 7228 9035 18070 19321 23491 36140 38642 46982 77284 93964 96605 117455 193210 234910 251173 386420 469820 502346 1004692 1255865 2511730 3265249 5023460 6530498 13060996 16326245 32652490 65304980