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166054140 = 223257267281
BaseRepresentation
bin10011110010111…
…00100011111100
3102120110102110100
421321130203330
5320002213030
624251041100
74054302600
oct1171344374
9376412410
10166054140
1185807a2a
1247740190
13285302b5
14180a7500
15e8a1360
hex9e5c8fc

166054140 has 216 divisors, whose sum is σ = 596795472. Its totient is φ = 37255680.

The previous prime is 166054123. The next prime is 166054169. The reversal of 166054140 is 41450661.

166054140 is a `hidden beast` number, since 16 + 605 + 4 + 1 + 40 = 666.

It is a super-2 number, since 2×1660541402 = 55147954822279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590800 + ... + 591080.

It is an arithmetic number, because the mean of its divisors is an integer number (2762942).

Almost surely, 2166054140 is an apocalyptic number.

166054140 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 166054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298397736).

166054140 is an abundant number, since it is smaller than the sum of its proper divisors (430741332).

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

166054140 is a wasteful number, since it uses less digits than its factorization.

166054140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 166054140 is about 12886.1995949155. The cubic root of 166054140 is about 549.6462077306.

The spelling of 166054140 in words is "one hundred sixty-six million, fifty-four thousand, one hundred forty".