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150088068 = 2232131916879
BaseRepresentation
bin10001111001000…
…10100110000100
3101110102021010100
420330202212010
5301410304233
622520524100
73501504354
oct1074424604
9343367110
10150088068
11777a2429
1242320630
1325130010
1415d0cb64
15d29a813
hex8f22984

150088068 has 72 divisors (see below), whose sum is σ = 430102400. Its totient is φ = 43747776.

The previous prime is 150088067. The next prime is 150088091. The reversal of 150088068 is 860880051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150088063) 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 23 ways as a sum of consecutive naturals, for example, 453 + ... + 17331.

Almost surely, 2150088068 is an apocalyptic number.

150088068 is a gapful number since it is divisible by the number (18) 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 150088068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215051200).

150088068 is an abundant number, since it is smaller than the sum of its proper divisors (280014332).

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

150088068 is a wasteful number, since it uses less digits than its factorization.

150088068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 150088068 is about 12251.0435473881. The cubic root of 150088068 is about 531.4332489306.

The spelling of 150088068 in words is "one hundred fifty million, eighty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 16879 33758 50637 67516 101274 151911 202548 219427 303822 320701 438854 607644 641402 658281 877708 962103 1282804 1316562 1924206 1974843 2633124 2886309 3848412 3949686 4169113 5772618 7899372 8338226 11545236 12507339 16676452 25014678 37522017 50029356 75044034 150088068