Search a number
-
+
66120450 = 23521123643
BaseRepresentation
bin1111110000111…
…0101100000010
311121102021012120
43330032230002
5113411323300
610321105110
71432004664
oct374165402
9147367176
1066120450
1134361300
121a188196
1310910a36
148ad2534
155c113a0
hex3f0eb02

66120450 has 72 divisors (see below), whose sum is σ = 180290544. Its totient is φ = 16024800.

The previous prime is 66120433. The next prime is 66120473. The reversal of 66120450 is 5402166.

66120450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66120450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16329 + ... + 19971.

Almost surely, 266120450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66120450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90145272).

66120450 is an abundant number, since it is smaller than the sum of its proper divisors (114170094).

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

66120450 is a wasteful number, since it uses less digits than its factorization.

66120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66120450 is about 8131.4482104973. The cubic root of 66120450 is about 404.3696947610.

The spelling of 66120450 in words is "sixty-six million, one hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 3025 3630 3643 6050 7286 9075 10929 18150 18215 21858 36430 40073 54645 80146 91075 109290 120219 182150 200365 240438 273225 400730 440803 546450 601095 881606 1001825 1202190 1322409 2003650 2204015 2644818 3005475 4408030 6010950 6612045 11020075 13224090 22040150 33060225 66120450