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166660128 = 25321095309
BaseRepresentation
bin10011110111100…
…00100000100000
3102121121012201100
421323300200200
5320131111003
624312034400
74062405405
oct1173604040
9377535640
10166660128
1186091248
1247992a00
13286b307b
14181c42ac
15e970ba3
hex9ef0820

166660128 has 72 divisors (see below), whose sum is σ = 478377900. Its totient is φ = 55033344.

The previous prime is 166660127. The next prime is 166660133. The reversal of 166660128 is 821066661.

It can be written as a sum of positive squares in 2 ways, for example, as 155451024 + 11209104 = 12468^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166660092 and 166660101.

It is not an unprimeable number, because it can be changed into a prime (166660127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28738 + ... + 34046.

Almost surely, 2166660128 is an apocalyptic number.

166660128 is a gapful number since it is divisible by the number (18) 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 166660128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239188950).

166660128 is an abundant number, since it is smaller than the sum of its proper divisors (311717772).

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

166660128 is a wasteful number, since it uses less digits than its factorization.

166660128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 166660128 is about 12909.6912434032. The cubic root of 166660128 is about 550.3140113211.

The spelling of 166660128 in words is "one hundred sixty-six million, six hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 5309 7848 10464 10618 15696 15927 21236 31392 31854 42472 47781 63708 84944 95562 127416 169888 191124 254832 382248 509664 578681 764496 1157362 1528992 1736043 2314724 3472086 4629448 5208129 6944172 9258896 10416258 13888344 18517792 20832516 27776688 41665032 55553376 83330064 166660128