Search a number
-
+
66189060 = 223257131401
BaseRepresentation
bin1111110001111…
…1011100000100
311121112202022200
43330133130010
5113421022220
610322354500
71432412010
oct374373404
9147482280
1066189060
11343a8903
121a1bba30
1310936032
148b0d540
155c26890
hex3f1f704

66189060 has 144 divisors (see below), whose sum is σ = 231783552. Its totient is φ = 14976000.

The previous prime is 66189059. The next prime is 66189089. The reversal of 66189060 is 6098166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164860 + ... + 165260.

It is an arithmetic number, because the mean of its divisors is an integer number (1609608).

Almost surely, 266189060 is an apocalyptic number.

66189060 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 66189060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115891776).

66189060 is an abundant number, since it is smaller than the sum of its proper divisors (165594492).

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

66189060 is a wasteful number, since it uses less digits than its factorization.

66189060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66189060 is about 8135.6659223446. The cubic root of 66189060 is about 404.5095113843.

The spelling of 66189060 in words is "sixty-six million, one hundred eighty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 131 140 180 210 252 262 315 393 401 420 524 630 655 786 802 917 1179 1203 1260 1310 1572 1604 1834 1965 2005 2358 2406 2620 2751 2807 3609 3668 3930 4010 4585 4716 4812 5502 5614 5895 6015 7218 7860 8020 8253 8421 9170 11004 11228 11790 12030 13755 14035 14436 16506 16842 18045 18340 23580 24060 25263 27510 28070 33012 33684 36090 41265 42105 50526 52531 55020 56140 72180 82530 84210 101052 105062 126315 157593 165060 168420 210124 252630 262655 315186 367717 472779 505260 525310 630372 735434 787965 945558 1050620 1103151 1470868 1575930 1838585 1891116 2206302 2363895 3151860 3309453 3677170 4412604 4727790 5515755 6618906 7354340 9455580 11031510 13237812 16547265 22063020 33094530 66189060