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66006192 = 2437316337
BaseRepresentation
bin1111101111001…
…0110010110000
311121012110110210
43323302302300
5113344144232
610314424120
71431020610
oct373626260
9147173423
1066006192
113429347a
121a132040
13108a0a25
148aa2a40
155bdc5cc
hex3ef2cb0

66006192 has 80 divisors (see below), whose sum is σ = 201193472. Its totient is φ = 18247680.

The previous prime is 66006181. The next prime is 66006203. The reversal of 66006192 is 29160066.

It is an interprime number because it is at equal distance from previous prime (66006181) and next prime (66006203).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7248 + ... + 13584.

Almost surely, 266006192 is an apocalyptic number.

66006192 is a gapful number since it is divisible by the number (62) 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 66006192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100596736).

66006192 is an abundant number, since it is smaller than the sum of its proper divisors (135187280).

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

66006192 is a wasteful number, since it uses less digits than its factorization.

66006192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 66006192 is about 8124.4194869541. The cubic root of 66006192 is about 404.1366397267.

The spelling of 66006192 in words is "sixty-six million, six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 6337 10416 12674 19011 25348 38022 44359 50696 76044 88718 101392 133077 152088 177436 196447 266154 304176 354872 392894 532308 589341 709744 785788 1064616 1178682 1375129 1571576 2129232 2357364 2750258 3143152 4125387 4714728 5500516 8250774 9429456 11001032 16501548 22002064 33003096 66006192