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150532144 = 24717173457
BaseRepresentation
bin10001111100011…
…11000000110000
3101111020211021121
420332033000300
5302014012034
622534232024
73505334140
oct1076170060
9344224247
10150532144
1177a76034
12424b5614
1325257199
1415dc6920
15d3371b4
hex8f8f030

150532144 has 80 divisors (see below), whose sum is σ = 355745088. Its totient is φ = 60235776.

The previous prime is 150532133. The next prime is 150532147. The reversal of 150532144 is 441235051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150532147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329164 + ... + 329620.

Almost surely, 2150532144 is an apocalyptic number.

150532144 is a gapful number since it is divisible by the number (14) 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 150532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177872544).

150532144 is an abundant number, since it is smaller than the sum of its proper divisors (205212944).

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

150532144 is a wasteful number, since it uses less digits than its factorization.

150532144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 150532144 is about 12269.1541680753. The cubic root of 150532144 is about 531.9568623511.

Adding to 150532144 its reverse (441235051), we get a palindrome (591767195).

The spelling of 150532144 in words is "one hundred fifty million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 173 238 272 346 457 476 692 914 952 1211 1384 1828 1904 2422 2768 2941 3199 3656 4844 5882 6398 7312 7769 9688 11764 12796 15538 19376 20587 23528 25592 31076 41174 47056 51184 54383 62152 79061 82348 108766 124304 158122 164696 217532 316244 329392 435064 553427 632488 870128 1106854 1264976 1344037 2213708 2688074 4427416 5376148 8854832 9408259 10752296 18816518 21504592 37633036 75266072 150532144