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150000006 = 23132295101
BaseRepresentation
bin10001111000011…
…01000110000110
3101110020210022210
420330031012012
5301400000011
622515004250
73500656542
oct1074150606
9343223283
10150000006
1177742252
1242299686
13250cbc00
1415cc8a22
15d27e6a6
hex8f0d186

150000006 has 48 divisors (see below), whose sum is σ = 336119760. Its totient is φ = 44553600.

The previous prime is 150000001. The next prime is 150000029. The reversal of 150000006 is 600000051.

It is a junction number, because it is equal to n+sod(n) for n = 149999946 and 150000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150000001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26856 + ... + 31956.

It is an arithmetic number, because the mean of its divisors is an integer number (7002495).

Almost surely, 2150000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168059880).

150000006 is an abundant number, since it is smaller than the sum of its proper divisors (186119754).

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

150000006 is a wasteful number, since it uses less digits than its factorization.

150000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 150000006 is about 12247.4489588649. The cubic root of 150000006 is about 531.3292916757.

Adding to 150000006 its reverse (600000051), we get a palindrome (750000057).

The spelling of 150000006 in words is "one hundred fifty million, six", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 1014 1131 2262 4901 5101 9802 10202 14703 15303 29406 30606 66313 132626 147929 198939 295858 397878 443787 862069 887574 1724138 1923077 2586207 3846154 5172414 5769231 11538462 25000001 50000002 75000003 150000006