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150050106 = 232193114153
BaseRepresentation
bin10001111000110…
…01010100111010
3101110100100001100
420330121110322
5301403100411
622520032230
73501255603
oct1074312472
9343310040
10150050106
1177776958
1242302676
132511895b
1415cdcdaa
15d28e456
hex8f1953a

150050106 has 48 divisors (see below), whose sum is σ = 353283840. Its totient is φ = 45852480.

The previous prime is 150050077. The next prime is 150050111. The reversal of 150050106 is 601050051.

150050106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1500501062 = 45030068621222472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3526 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (7360080).

Almost surely, 2150050106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150050106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176641920).

150050106 is an abundant number, since it is smaller than the sum of its proper divisors (203233734).

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

150050106 is a wasteful number, since it uses less digits than its factorization.

150050106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14211 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150050106 is about 12249.4941120032. The cubic root of 150050106 is about 531.3884397498.

The spelling of 150050106 in words is "one hundred fifty million, fifty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 14153 28306 42459 84918 127377 254754 268907 438743 537814 806721 877486 1316229 1613442 2420163 2632458 3948687 4840326 7897374 8336117 16672234 25008351 50016702 75025053 150050106