Search a number
-
+
66028140 = 223253111833
BaseRepresentation
bin1111101111100…
…0001001101100
311121020120120200
43323320021230
5113400400030
610315113500
71431141603
oct373701154
9147216520
1066028140
11342a8a12
121a142890
13108aaa09
148aaaa3a
155be3d60
hex3ef826c

66028140 has 72 divisors (see below), whose sum is σ = 206763648. Its totient is φ = 17038080.

The previous prime is 66028133. The next prime is 66028141. The reversal of 66028140 is 4182066.

It is not an unprimeable number, because it can be changed into a prime (66028141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337 + ... + 11496.

Almost surely, 266028140 is an apocalyptic number.

66028140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66028140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103381824).

66028140 is an abundant number, since it is smaller than the sum of its proper divisors (140735508).

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

66028140 is a wasteful number, since it uses less digits than its factorization.

66028140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66028140 is about 8125.7701173489. The cubic root of 66028140 is about 404.1814284945.

The spelling of 66028140 in words is "sixty-six million, twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 11833 23666 35499 47332 59165 70998 106497 118330 141996 177495 212994 236660 354990 366823 425988 532485 709980 733646 1064970 1100469 1467292 1834115 2129940 2200938 3301407 3668230 4401876 5502345 6602814 7336460 11004690 13205628 16507035 22009380 33014070 66028140