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66644320 = 2552953271
BaseRepresentation
bin1111111000111…
…0100101100000
311122101212211011
43332032211200
5114030104240
610340230304
71436316211
oct376164540
9148355734
1066644320
1134689956
121a39b394
1310a65312
148bcb408
155cb66ea
hex3f8e960

66644320 has 96 divisors (see below), whose sum is σ = 166561920. Its totient is φ = 25159680.

The previous prime is 66644309. The next prime is 66644323. The reversal of 66644320 is 2344666.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66644323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245785 + ... + 246055.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 266644320 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 66644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

66644320 is an abundant number, since it is smaller than the sum of its proper divisors (99917600).

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

66644320 is a wasteful number, since it uses less digits than its factorization.

66644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 66644320 is about 8163.5972463124. The cubic root of 66644320 is about 405.4348223283.

Adding to 66644320 its reverse (2344666), we get a palindrome (68988986).

The spelling of 66644320 in words is "sixty-six million, six hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 80 106 116 145 160 212 232 265 271 290 424 464 530 542 580 848 928 1060 1084 1160 1355 1537 1696 2120 2168 2320 2710 3074 4240 4336 4640 5420 6148 7685 7859 8480 8672 10840 12296 14363 15370 15718 21680 24592 28726 30740 31436 39295 43360 49184 57452 61480 62872 71815 78590 114904 122960 125744 143630 157180 229808 245920 251488 287260 314360 416527 459616 574520 628720 833054 1149040 1257440 1666108 2082635 2298080 3332216 4165270 6664432 8330540 13328864 16661080 33322160 66644320