Search a number
-
+
158004000 = 25335371119
BaseRepresentation
bin10010110101011…
…11001100100000
3102000022102202000
421122233030200
5310422112000
623402324000
73626004030
oct1132571440
9360272660
10158004000
1181209820
1244ab9600
13269720bb
1416dad8c0
15dd11000
hex96af320

158004000 has 768 divisors, whose sum is σ = 754790400. Its totient is φ = 31104000.

The previous prime is 158003987. The next prime is 158004061. The reversal of 158004000 is 400851.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8315991 + ... + 8316009.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2158004000 is an apocalyptic number.

158004000 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 158004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

158004000 is an abundant number, since it is smaller than the sum of its proper divisors (596786400).

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

158004000 is a wasteful number, since it uses less digits than its factorization.

158004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 158004000 is about 12569.9642004263. The cubic root of 158004000 is about 540.6165796633.

Adding to 158004000 its reverse (400851), we get a palindrome (158404851).

The spelling of 158004000 in words is "one hundred fifty-eight million, four thousand".