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66199290 = 23523372593
BaseRepresentation
bin1111110010000…
…1111011111010
311121120021100120
43330201323322
5113421334130
610322514110
71432453563
oct374417372
9147507316
1066199290
1134405563
121a205936
131093a8a1
148b1316a
155c29910
hex3f21efa

66199290 has 64 divisors (see below), whose sum is σ = 170332416. Its totient is φ = 16422912.

The previous prime is 66199201. The next prime is 66199307. The reversal of 66199290 is 9299166.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24234 + ... + 26826.

It is an arithmetic number, because the mean of its divisors is an integer number (2661444).

Almost surely, 266199290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66199290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85166208).

66199290 is an abundant number, since it is smaller than the sum of its proper divisors (104133126).

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

66199290 is a wasteful number, since it uses less digits than its factorization.

66199290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 66199290 is about 8136.2946111851. The cubic root of 66199290 is about 404.5303502718.

The spelling of 66199290 in words is "sixty-six million, one hundred ninety-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1702 2553 2593 4255 5106 5186 7779 8510 12765 12965 15558 25530 25930 38895 59639 77790 95941 119278 178917 191882 287823 298195 357834 479705 575646 596390 894585 959410 1439115 1789170 2206643 2878230 4413286 6619929 11033215 13239858 22066430 33099645 66199290