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166680420 = 223524111527
BaseRepresentation
bin10011110111101…
…01011101100100
3102121122020112220
421323311131210
5320132233140
624312312340
74062521514
oct1173653544
9377566486
10166680420
11860a5515
12479a26b0
13286bc38a
14181cb844
15e976bd0
hex9ef5764

166680420 has 48 divisors (see below), whose sum is σ = 468682368. Its totient is φ = 44259840.

The previous prime is 166680419. The next prime is 166680421. The reversal of 166680420 is 24086661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166680419) and next prime (166680421).

It is a super-2 number, since 2×1666804202 = 55564724822752800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166680421) by changing a digit.

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, 8697 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (9764216).

Almost surely, 2166680420 is an apocalyptic number.

166680420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166680420 is an abundant number, since it is smaller than the sum of its proper divisors (302001948).

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

166680420 is a wasteful number, since it uses less digits than its factorization.

166680420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 166680420 is about 12910.4771406792. The cubic root of 166680420 is about 550.3363452348.

The spelling of 166680420 in words is "one hundred sixty-six million, six hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2892 3615 4820 7230 11527 14460 23054 34581 46108 57635 69162 115270 138324 172905 230540 345810 691620 2778007 5556014 8334021 11112028 13890035 16668042 27780070 33336084 41670105 55560140 83340210 166680420