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166713040 = 24513315171
BaseRepresentation
bin10011110111111…
…01011011010000
3102121200220022001
421323331123100
5320134304130
624313123344
74063015564
oct1173753320
9377626261
10166713040
1186117a7a
12479b9554
1328701190
14181d96a4
15e9816ca
hex9efd6d0

166713040 has 80 divisors (see below), whose sum is σ = 430972416. Its totient is φ = 59558400.

The previous prime is 166712981. The next prime is 166713059. The reversal of 166713040 is 40317661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 29655 + ... + 34825.

Almost surely, 2166713040 is an apocalyptic number.

166713040 is a gapful number since it is divisible by the number (10) 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 166713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215486208).

166713040 is an abundant number, since it is smaller than the sum of its proper divisors (264259376).

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

166713040 is a wasteful number, since it uses less digits than its factorization.

166713040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 166713040 is about 12911.7403939206. The cubic root of 166713040 is about 550.3722438737.

The spelling of 166713040 in words is "one hundred sixty-six million, seven hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 5171 6448 8060 10342 16120 20684 25855 32240 41368 51710 67223 82736 103420 134446 160301 206840 268892 320602 336115 413680 537784 641204 672230 801505 1075568 1282408 1344460 1603010 2083913 2564816 2688920 3206020 4167826 5377840 6412040 8335652 10419565 12824080 16671304 20839130 33342608 41678260 83356520 166713040