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166380690 = 23577111159
BaseRepresentation
bin10011110101011…
…00010010010010
3102121002000101210
421322230102102
5320043140230
624302040550
74060132620
oct1172542222
9377060353
10166380690
1185a10303
1247879156
1328615b18
1418150510
15e917eb0
hex9eac492

166380690 has 64 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 37490880.

The previous prime is 166380671. The next prime is 166380691. The reversal of 166380690 is 96083661.

It is a happy number.

It is a super-2 number, since 2×1663806902 = 55365068009752200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166380691) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9331 + ... + 20489.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2166380690 is an apocalyptic number.

166380690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166380690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

166380690 is an abundant number, since it is smaller than the sum of its proper divisors (296446830).

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

166380690 is a wasteful number, since it uses less digits than its factorization.

166380690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 166380690 is about 12898.8639034606. The cubic root of 166380690 is about 550.0062699010.

The spelling of 166380690 in words is "one hundred sixty-six million, three hundred eighty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 11159 14910 22318 33477 55795 66954 78113 111590 156226 167385 234339 334770 390565 468678 781130 792289 1171695 1584578 2343390 2376867 3961445 4753734 5546023 7922890 11092046 11884335 16638069 23768670 27730115 33276138 55460230 83190345 166380690