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150124672 = 277116519
BaseRepresentation
bin10001111001010…
…11100010000000
3101110111010100001
420330223202000
5301412442142
622521405344
73502016155
oct1074534200
9343433301
10150124672
1177817985
1242339854
1325143889
1415d1c22c
15d2a65b7
hex8f2b880

150124672 has 32 divisors (see below), whose sum is σ = 303307200. Its totient is φ = 74000640.

The previous prime is 150124633. The next prime is 150124679. The reversal of 150124672 is 276421051.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 150124672.

It is not an unprimeable number, because it can be changed into a prime (150124679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829 + ... + 17347.

It is an arithmetic number, because the mean of its divisors is an integer number (9478350).

Almost surely, 2150124672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151653600).

150124672 is an abundant number, since it is smaller than the sum of its proper divisors (153182528).

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

150124672 is an equidigital number, since it uses as much as digits as its factorization.

150124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16604 (or 16592 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 150124672 is about 12252.5373698675. The cubic root of 150124672 is about 531.4764480153.

The spelling of 150124672 in words is "one hundred fifty million, one hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 16519 33038 66076 132152 264304 528608 1057216 1172849 2114432 2345698 4691396 9382792 18765584 37531168 75062336 150124672