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150566868 = 223219251877
BaseRepresentation
bin10001111100101…
…11011111010100
3101111022120220200
420332113133110
5302021114433
622535100500
73505540314
oct1076273724
9344276820
10150566868
1177a9a131
1242511730
1325269c2a
1415dd5444
15d342613
hex8f977d4

150566868 has 72 divisors (see below), whose sum is σ = 402685920. Its totient is φ = 47304000.

The previous prime is 150566839. The next prime is 150566873. The reversal of 150566868 is 868665051.

150566868 is a `hidden beast` number, since 1 + 5 + 0 + 566 + 86 + 8 = 666.

150566868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171246 + ... + 172122.

It is an arithmetic number, because the mean of its divisors is an integer number (5592860).

Almost surely, 2150566868 is an apocalyptic number.

150566868 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 150566868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201342960).

150566868 is an abundant number, since it is smaller than the sum of its proper divisors (252119052).

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

150566868 is a wasteful number, since it uses less digits than its factorization.

150566868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 150566868 is about 12270.5691799525. The cubic root of 150566868 is about 531.9977622534.

The spelling of 150566868 in words is "one hundred fifty million, five hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 251 342 502 684 753 877 1004 1506 1754 2259 2631 3012 3508 4518 4769 5262 7893 9036 9538 10524 14307 15786 16663 19076 28614 31572 33326 42921 49989 57228 66652 85842 99978 149967 171684 199956 220127 299934 440254 599868 660381 880508 1320762 1981143 2641524 3962286 4182413 7924572 8364826 12547239 16729652 25094478 37641717 50188956 75283434 150566868