Search a number
-
+
66300520 = 235111367173
BaseRepresentation
bin1111110011101…
…0101001101000
311121202102012211
43330322221220
5113433104040
610325014504
71433354656
oct374725150
9147672184
1066300520
1134474620
121a254434
13109749a0
148b3bdd6
155c498ea
hex3f3aa68

66300520 has 128 divisors (see below), whose sum is σ = 178899840. Its totient is φ = 21795840.

The previous prime is 66300511. The next prime is 66300529. The reversal of 66300520 is 2500366.

It is an interprime number because it is at equal distance from previous prime (66300511) and next prime (66300529).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 66300491 and 66300500.

It is not an unprimeable number, because it can be changed into a prime (66300529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383154 + ... + 383326.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 266300520 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 66300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89449920).

66300520 is an abundant number, since it is smaller than the sum of its proper divisors (112599320).

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

66300520 is a wasteful number, since it uses less digits than its factorization.

66300520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 66300520 is about 8142.5131255651. The cubic root of 66300520 is about 404.7364438799.

Adding to 66300520 its reverse (2500366), we get a palindrome (68800886).

The spelling of 66300520 in words is "sixty-six million, three hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 67 88 104 110 130 134 143 173 220 260 268 286 335 346 440 520 536 572 670 692 715 737 865 871 1144 1340 1384 1430 1474 1730 1742 1903 2249 2680 2860 2948 3460 3484 3685 3806 4355 4498 5720 5896 6920 6968 7370 7612 8710 8996 9515 9581 11245 11591 14740 15224 17420 17992 19030 19162 22490 23182 24739 29480 34840 38060 38324 44980 46364 47905 49478 57955 76120 76648 89960 92728 95810 98956 115910 123695 127501 150683 191620 197912 231820 247390 255002 301366 383240 463640 494780 510004 602732 637505 753415 989560 1020008 1205464 1275010 1506830 1657513 2550020 3013660 3315026 5100040 6027320 6630052 8287565 13260104 16575130 33150260 66300520