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66004320 = 2535199691
BaseRepresentation
bin1111101111001…
…0010101100000
311121012100220110
43323302111200
5113344114240
610314411320
71431012264
oct373622540
9147170813
1066004320
1134292028
121a130b40
131089cc15
148aa20a4
155bdbc80
hex3ef2560

66004320 has 96 divisors (see below), whose sum is σ = 209260800. Its totient is φ = 17487360.

The previous prime is 66004307. The next prime is 66004327. The reversal of 66004320 is 2340066.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66004327) 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, 95175 + ... + 95865.

It is an arithmetic number, because the mean of its divisors is an integer number (2179800).

Almost surely, 266004320 is an apocalyptic number.

66004320 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 66004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104630400).

66004320 is an abundant number, since it is smaller than the sum of its proper divisors (143256480).

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

66004320 is a wasteful number, since it uses less digits than its factorization.

66004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 66004320 is about 8124.3042779059. The cubic root of 66004320 is about 404.1328191208.

Adding to 66004320 its reverse (2340066), we get a palindrome (68344386).

The spelling of 66004320 in words is "sixty-six million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 691 796 995 1194 1382 1592 1990 2073 2388 2764 2985 3184 3455 3980 4146 4776 5528 5970 6368 6910 7960 8292 9552 10365 11056 11940 13820 15920 16584 19104 20730 22112 23880 27640 31840 33168 41460 47760 55280 66336 82920 95520 110560 137509 165840 275018 331680 412527 550036 687545 825054 1100072 1375090 1650108 2062635 2200144 2750180 3300216 4125270 4400288 5500360 6600432 8250540 11000720 13200864 16501080 22001440 33002160 66004320