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158380200 = 2332521119421
BaseRepresentation
bin10010111000010…
…11000010101000
3102001000112210100
421130023002220
5311021131300
623414345400
73632131566
oct1134130250
9361015710
10158380200
1181446430
124505b260
1326a743c4
141706aa36
15dd87700
hex970b0a8

158380200 has 288 divisors, whose sum is σ = 612237600. Its totient is φ = 36288000.

The previous prime is 158380199. The next prime is 158380207. The reversal of 158380200 is 2083851.

It is a happy number.

158380200 is a `hidden beast` number, since 1 + 583 + 80 + 2 + 0 + 0 = 666.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (158380207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 375990 + ... + 376410.

It is an arithmetic number, because the mean of its divisors is an integer number (2125825).

Almost surely, 2158380200 is an apocalyptic number.

158380200 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 158380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306118800).

158380200 is an abundant number, since it is smaller than the sum of its proper divisors (453857400).

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

158380200 is a wasteful number, since it uses less digits than its factorization.

158380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 158380200 is about 12584.9195468227. The cubic root of 158380200 is about 541.0453003661.

The spelling of 158380200 in words is "one hundred fifty-eight million, three hundred eighty thousand, two hundred".