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66028230 = 23351961211
BaseRepresentation
bin1111101111100…
…0001011000110
311121020120201000
43323320023012
5113400400410
610315114130
71431142062
oct373701306
9147216630
1066028230
11342a8a94
121a142946
13108aaa78
148aaaaa2
155be3dc0
hex3ef82c6

66028230 has 128 divisors (see below), whose sum is σ = 189273600. Its totient is φ = 16329600.

The previous prime is 66028229. The next prime is 66028241. The reversal of 66028230 is 3282066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66028194 and 66028203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312825 + ... + 313035.

It is an arithmetic number, because the mean of its divisors is an integer number (1478700).

Almost surely, 266028230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66028230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94636800).

66028230 is an abundant number, since it is smaller than the sum of its proper divisors (123245370).

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

66028230 is a wasteful number, since it uses less digits than its factorization.

66028230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66028230 is about 8125.7756552836. The cubic root of 66028230 is about 404.1816121349.

The spelling of 66028230 in words is "sixty-six million, twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 61 90 95 114 122 135 171 183 190 211 270 285 305 342 366 422 513 549 570 610 633 855 915 1026 1055 1098 1159 1266 1647 1710 1830 1899 2110 2318 2565 2745 3165 3294 3477 3798 4009 5130 5490 5697 5795 6330 6954 8018 8235 9495 10431 11394 11590 12027 12871 16470 17385 18990 20045 20862 24054 25742 28485 31293 34770 36081 38613 40090 52155 56970 60135 62586 64355 72162 77226 104310 108243 115839 120270 128710 156465 180405 193065 216486 231678 244549 312930 347517 360810 386130 489098 541215 579195 695034 733647 1082430 1158390 1222745 1467294 1737585 2200941 2445490 3475170 3668235 4401882 6602823 7336470 11004705 13205646 22009410 33014115 66028230