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166028460 = 2235131719659
BaseRepresentation
bin10011110010101…
…10010010101100
3102120102010020020
421321112102230
5320000402320
624250322140
74054134663
oct1171262254
9376363206
10166028460
118579a704
1247729350
13285216c0
141809bdda
15e898940
hex9e564ac

166028460 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 36384768.

The previous prime is 166028453. The next prime is 166028491. The reversal of 166028460 is 64820661.

It is a happy number.

166028460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251611 + ... + 252269.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2166028460 is an apocalyptic number.

166028460 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 166028460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

166028460 is an abundant number, since it is smaller than the sum of its proper divisors (392806740).

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

166028460 is a wasteful number, since it uses less digits than its factorization.

166028460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

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

The square root of 166028460 is about 12885.2031415884. The cubic root of 166028460 is about 549.6178723088.

The spelling of 166028460 in words is "one hundred sixty-six million, twenty-eight thousand, four hundred sixty".