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150386112 = 2633293001
BaseRepresentation
bin10001111011010…
…11010111000000
3101110222101222000
420331223113000
5301444323422
622531144000
73504155322
oct1075532700
9343871860
10150386112
1177986348
1242445000
1325205886
1415d89612
15d308cac
hex8f6b5c0

150386112 has 112 divisors (see below), whose sum is σ = 457504800. Its totient is φ = 48384000.

The previous prime is 150386107. The next prime is 150386149. The reversal of 150386112 is 211683051.

150386112 is a `hidden beast` number, since 15 + 0 + 38 + 611 + 2 = 666.

150386112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48612 + ... + 51612.

Almost surely, 2150386112 is an apocalyptic number.

150386112 is a gapful number since it is divisible by the number (12) 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 150386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228752400).

150386112 is an abundant number, since it is smaller than the sum of its proper divisors (307118688).

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

150386112 is a wasteful number, since it uses less digits than its factorization.

150386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 150386112 is about 12263.2015395654. The cubic root of 150386112 is about 531.7847886749.

The spelling of 150386112 in words is "one hundred fifty million, three hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3001 3132 4176 5568 6002 6264 8352 9003 12004 12528 16704 18006 24008 25056 27009 36012 48016 50112 54018 72024 81027 87029 96032 108036 144048 162054 174058 192064 216072 261087 288096 324108 348116 432144 522174 576192 648216 696232 783261 864288 1044348 1296432 1392464 1566522 1728576 2088696 2349783 2592864 2784928 3133044 4177392 4699566 5185728 5569856 6266088 8354784 9399132 12532176 16709568 18798264 25064352 37596528 50128704 75193056 150386112