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158055120 = 243251737349
BaseRepresentation
bin10010110101110…
…11101011010000
3102000102000212100
421122323223100
5310430230440
623403400400
73626306046
oct1132735320
9360360770
10158055120
1181244173
1244b23100
132698c452
1416dc4396
15dd21230
hex96bbad0

158055120 has 240 divisors, whose sum is σ = 578869200. Its totient is φ = 38486016.

The previous prime is 158055109. The next prime is 158055127. The reversal of 158055120 is 21550851.

158055120 is a `hidden beast` number, since 15 + 80 + 551 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26998416 + 131056704 = 5196^2 + 11448^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158055127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452706 + ... + 453054.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2158055120 is an apocalyptic number.

158055120 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 158055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289434600).

158055120 is an abundant number, since it is smaller than the sum of its proper divisors (420814080).

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

158055120 is a wasteful number, since it uses less digits than its factorization.

158055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 158055120 is about 12571.9974546609. The cubic root of 158055120 is about 540.6748763723.

The spelling of 158055120 in words is "one hundred fifty-eight million, fifty-five thousand, one hundred twenty".