Search a number
-
+
150406242 = 237171911087
BaseRepresentation
bin10001111011100…
…00010001100010
3101111000102120120
420331300101202
5302000444432
622531421110
73504301110
oct1075602142
9344012516
10150406242
117799a488
1242454796
1325211a9c
1415d92ab0
15d30ec2c
hex8f70462

150406242 has 64 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 38313216.

The previous prime is 150406237. The next prime is 150406253. The reversal of 150406242 is 242604051.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8023 + ... + 19109.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2150406242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150406242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

150406242 is an abundant number, since it is smaller than the sum of its proper divisors (232795038).

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

150406242 is a wasteful number, since it uses less digits than its factorization.

150406242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 150406242 is about 12264.0222602538. The cubic root of 150406242 is about 531.8085150462.

The spelling of 150406242 in words is "one hundred fifty million, four hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 11087 13566 22174 33261 66522 77609 155218 188479 210653 232827 376958 421306 465654 565437 631959 1130874 1263918 1319353 1474571 2638706 2949142 3581101 3958059 4423713 7162202 7916118 8847426 10743303 21486606 25067707 50135414 75203121 150406242