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150534126 = 23623672
BaseRepresentation
bin10001111100011…
…11011111101110
3101111020221000000
420332033133232
5302014043001
622534245130
73505343001
oct1076173756
9344227000
10150534126
1177a77576
12424b67a6
1325258062
1415dc7538
15d337a86
hex8f8f7ee

150534126 has 84 divisors (see below), whose sum is σ = 358617672. Its totient is φ = 47280024.

The previous prime is 150534121. The next prime is 150534161. The reversal of 150534126 is 621435051.

150534126 is a `hidden beast` number, since 1 + 5 + 0 + 534 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 150534126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150534121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2246745 + ... + 2246811.

It is an arithmetic number, because the mean of its divisors is an integer number (4269258).

Almost surely, 2150534126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150534126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179308836).

150534126 is an abundant number, since it is smaller than the sum of its proper divisors (208083546).

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

150534126 is an frugal number, since it uses more digits than its factorization.

150534126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150534126 is about 12269.2349394736. The cubic root of 150534126 is about 531.9591970327.

Adding to 150534126 its reverse (621435051), we get a palindrome (771969177).

The spelling of 150534126 in words is "one hundred fifty million, five hundred thirty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 67 69 81 134 138 162 201 207 243 402 414 486 603 621 729 1206 1242 1458 1541 1809 1863 3082 3618 3726 4489 4623 5427 5589 8978 9246 10854 11178 13467 13869 16281 16767 26934 27738 32562 33534 40401 41607 48843 80802 83214 97686 103247 121203 124821 206494 242406 249642 309741 363609 374463 619482 727218 748926 929223 1090827 1123389 1858446 2181654 2246778 2787669 3272481 5575338 6544962 8363007 16726014 25089021 50178042 75267063 150534126