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66401310 = 23537163367
BaseRepresentation
bin1111110101001…
…1010000011110
311121221112110210
43331103100132
5113444320220
610331113250
71434254553
oct375232036
9147845423
1066401310
1134533318
121a2a2826
13109ab821
148b66a2a
155c696e0
hex3f5341e

66401310 has 64 divisors (see below), whose sum is σ = 165123072. Its totient is φ = 17076096.

The previous prime is 66401267. The next prime is 66401323. The reversal of 66401310 is 1310466.

It is a super-2 number, since 2×664013102 = 8818267939432200, which contains 22 as substring.

It is a congruent number.

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, 180747 + ... + 181113.

It is an arithmetic number, because the mean of its divisors is an integer number (2580048).

Almost surely, 266401310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82561536).

66401310 is an abundant number, since it is smaller than the sum of its proper divisors (98721762).

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

66401310 is a wasteful number, since it uses less digits than its factorization.

66401310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 66401310 is about 8148.6998963025. The cubic root of 66401310 is about 404.9414333845.

Adding to 66401310 its reverse (1310466), we get a palindrome (67711776).

The spelling of 66401310 in words is "sixty-six million, four hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 163 185 222 326 367 370 489 555 734 815 978 1101 1110 1630 1835 2202 2445 3670 4890 5505 6031 11010 12062 13579 18093 27158 30155 36186 40737 59821 60310 67895 81474 90465 119642 135790 179463 180930 203685 299105 358926 407370 598210 897315 1794630 2213377 4426754 6640131 11066885 13280262 22133770 33200655 66401310