Search a number
-
+
66169320 = 23357372129
BaseRepresentation
bin1111110001101…
…0100111101000
311121111202020120
43330122213220
5113414404240
610322123240
71432300320
oct374324750
9147452216
1066169320
1134394a98
121a1b0520
131092a059
148b06280
155c20ad0
hex3f1a9e8

66169320 has 128 divisors (see below), whose sum is σ = 233107200. Its totient is φ = 14708736.

The previous prime is 66169309. The next prime is 66169333. The reversal of 66169320 is 2396166.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30016 + ... + 32144.

It is an arithmetic number, because the mean of its divisors is an integer number (1821150).

Almost surely, 266169320 is an apocalyptic number.

66169320 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 66169320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116553600).

66169320 is an abundant number, since it is smaller than the sum of its proper divisors (166937880).

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

66169320 is a wasteful number, since it uses less digits than its factorization.

66169320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66169320 is about 8134.4526552190. The cubic root of 66169320 is about 404.4692942059.

The spelling of 66169320 in words is "sixty-six million, one hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2129 2220 2590 3108 3885 4258 4440 5180 6216 6387 7770 8516 10360 10645 12774 14903 15540 17032 21290 25548 29806 31080 31935 42580 44709 51096 59612 63870 74515 78773 85160 89418 119224 127740 149030 157546 178836 223545 236319 255480 298060 315092 357672 393865 447090 472638 551411 596120 630184 787730 894180 945276 1102822 1181595 1575460 1654233 1788360 1890552 2205644 2363190 2757055 3150920 3308466 4411288 4726380 5514110 6616932 8271165 9452760 11028220 13233864 16542330 22056440 33084660 66169320