Search a number
-
+
150012 = 2234463
BaseRepresentation
bin100100100111111100
321121210000
4210213330
514300022
63114300
71163232
oct444774
9247700
10150012
11a2785
1272990
1353385
143c952
152e6ac
hex249fc

150012 has 30 divisors (see below), whose sum is σ = 393008. Its totient is φ = 49896.

The previous prime is 150011. The next prime is 150041. The reversal of 150012 is 210051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 149976 and 150003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150011) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 93 + ... + 555.

2150012 is an apocalyptic number.

150012 is a gapful number since it is divisible by the number (12) 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 150012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196504).

150012 is an abundant number, since it is smaller than the sum of its proper divisors (242996).

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

150012 is a wasteful number, since it uses less digits than its factorization.

150012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 150012 is about 387.3138262443. The cubic root of 150012 is about 53.1343452994.

Adding to 150012 its reverse (210051), we get a palindrome (360063).

The spelling of 150012 in words is "one hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 463 926 1389 1852 2778 4167 5556 8334 12501 16668 25002 37503 50004 75006 150012