Search a number
-
+
65669320 = 23519711217
BaseRepresentation
bin1111101010000…
…0100011001000
311120120100101001
43322200203020
5113302404240
610303304344
71425115513
oct372404310
9146510331
1065669320
1134083372
1219bab0b4
13107b35b2
148a15d7a
155b7289a
hex3ea08c8

65669320 has 64 divisors (see below), whose sum is σ = 157852800. Its totient is φ = 24514560.

The previous prime is 65669269. The next prime is 65669333. The reversal of 65669320 is 2396656.

It is a self number, because there is not a number n which added to its sum of digits gives 65669320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53352 + ... + 54568.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 265669320 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 65669320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926400).

65669320 is an abundant number, since it is smaller than the sum of its proper divisors (92183480).

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

65669320 is a wasteful number, since it uses less digits than its factorization.

65669320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 65669320 is about 8103.6609010990. The cubic root of 65669320 is about 403.4479438123.

The spelling of 65669320 in words is "sixty-five million, six hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 568 710 760 1217 1349 1420 2434 2698 2840 4868 5396 6085 6745 9736 10792 12170 13490 23123 24340 26980 46246 48680 53960 86407 92492 115615 172814 184984 231230 345628 432035 462460 691256 864070 924920 1641733 1728140 3283466 3456280 6566932 8208665 13133864 16417330 32834660 65669320