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166042980 = 223352329461
BaseRepresentation
bin10011110010110…
…01110101100100
3102120102212011000
421321121311210
5320001333410
624250513300
74054225215
oct1171316544
9376385130
10166042980
11857aa604
1247735830
13285281ac
14180a340c
15e89cdc0
hex9e59d64

166042980 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 40803840.

The previous prime is 166042973. The next prime is 166043027. The reversal of 166042980 is 89240661.

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

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, 359950 + ... + 360410.

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

Almost surely, 2166042980 is an apocalyptic number.

166042980 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 166042980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

166042980 is an abundant number, since it is smaller than the sum of its proper divisors (392792220).

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

166042980 is a wasteful number, since it uses less digits than its factorization.

166042980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

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

The square root of 166042980 is about 12885.7665662544. The cubic root of 166042980 is about 549.6338940978.

The spelling of 166042980 in words is "one hundred sixty-six million, forty-two thousand, nine hundred eighty".