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66106050 = 23523743277
BaseRepresentation
bin1111110000101…
…1001011000010
311121101112110020
43330023023002
5113410343200
610320514310
71431615003
oct374131302
9147345406
1066106050
11343514aa
121a17b996
131090730a
148acb1aa
155c0bea0
hex3f0b2c2

66106050 has 96 divisors (see below), whose sum is σ = 172911552. Its totient is φ = 16692480.

The previous prime is 66106039. The next prime is 66106067. The reversal of 66106050 is 5060166.

66106050 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 66106050.

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 47 ways as a sum of consecutive naturals, for example, 238512 + ... + 238788.

It is an arithmetic number, because the mean of its divisors is an integer number (1801162).

Almost surely, 266106050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86455776).

66106050 is an abundant number, since it is smaller than the sum of its proper divisors (106805502).

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

66106050 is a wasteful number, since it uses less digits than its factorization.

66106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66106050 is about 8130.5627111535. The cubic root of 66106050 is about 404.3403374977.

The spelling of 66106050 in words is "sixty-six million, one hundred six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 43 50 74 75 86 111 129 150 185 215 222 258 277 370 430 554 555 645 831 925 1075 1110 1290 1385 1591 1662 1850 2150 2770 2775 3182 3225 4155 4773 5550 6450 6925 7955 8310 9546 10249 11911 13850 15910 20498 20775 23822 23865 30747 35733 39775 41550 47730 51245 59555 61494 71466 79550 102490 119110 119325 153735 178665 238650 256225 297775 307470 357330 440707 512450 595550 768675 881414 893325 1322121 1537350 1786650 2203535 2644242 4407070 6610605 11017675 13221210 22035350 33053025 66106050