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66351320 = 23572310303
BaseRepresentation
bin1111110100011…
…1000011011000
311121211222220022
43331013003120
5113441220240
610330050012
71433656040
oct375070330
9147758808
1066351320
11344a9802
121a279908
1310991b49
148b52720
155c599b5
hex3f470d8

66351320 has 64 divisors (see below), whose sum is σ = 178053120. Its totient is φ = 21757824.

The previous prime is 66351319. The next prime is 66351353. The reversal of 66351320 is 2315366.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66351320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 266351320 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 66351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89026560).

66351320 is an abundant number, since it is smaller than the sum of its proper divisors (111701800).

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

66351320 is a wasteful number, since it uses less digits than its factorization.

66351320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 66351320 is about 8145.6319582952. The cubic root of 66351320 is about 404.8397882797.

Adding to 66351320 its reverse (2315366), we get a palindrome (68666686).

The spelling of 66351320 in words is "sixty-six million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 10303 20606 41212 51515 72121 82424 103030 144242 206060 236969 288484 360605 412120 473938 576968 721210 947876 1184845 1442420 1658783 1895752 2369690 2884840 3317566 4739380 6635132 8293915 9478760 13270264 16587830 33175660 66351320