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73420164 = 22322338753
BaseRepresentation
bin1000110000001…
…00110110000100
312010011010112100
410120010312010
5122243421124
611141352100
71551026646
oct430046604
9163133470
1073420164
1138497724
1220708630
13122984ac
149a72896
1566a41c9
hex4604d84

73420164 has 36 divisors (see below), whose sum is σ = 186407676. Its totient is φ = 24365568.

The previous prime is 73420147. The next prime is 73420169. The reversal of 73420164 is 46102437.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 32970564 = 6360^2 + 5742^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (73420169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4012 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (5177991).

Almost surely, 273420164 is an apocalyptic number.

It is an amenable number.

73420164 is an abundant number, since it is smaller than the sum of its proper divisors (112987512).

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

73420164 is a wasteful number, since it uses less digits than its factorization.

73420164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73420164 is about 8568.5567046032. The cubic root of 73420164 is about 418.7342162611.

The spelling of 73420164 in words is "seventy-three million, four hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 8753 17506 26259 35012 52518 78777 105036 157554 315108 2039449 4078898 6118347 8157796 12236694 18355041 24473388 36710082 73420164