Search a number
-
+
158949000 = 2333537292
BaseRepresentation
bin10010111100101…
…01111010001000
3102002002110001000
421132111322020
5311142332000
623434455000
73640021110
oct1136257210
9362073030
10158949000
11817a4811
1245294460
1326c13282
1417178040
15de4b000
hex9795e88

158949000 has 384 divisors, whose sum is σ = 652204800. Its totient is φ = 35078400.

The previous prime is 158948987. The next prime is 158949001. The reversal of 158949000 is 949851.

158949000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158949001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5480986 + ... + 5481014.

It is an arithmetic number, because the mean of its divisors is an integer number (1698450).

Almost surely, 2158949000 is an apocalyptic number.

158949000 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 158949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326102400).

158949000 is an abundant number, since it is smaller than the sum of its proper divisors (493255800).

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

158949000 is a wasteful number, since it uses less digits than its factorization.

158949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 158949000 is about 12607.4977691848. The cubic root of 158949000 is about 541.6922223314.

The spelling of 158949000 in words is "one hundred fifty-eight million, nine hundred forty-nine thousand".