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150066112 = 267477127
BaseRepresentation
bin10001111000111…
…01001111000000
3101110101011000011
420330131033000
5301404103422
622520234304
73501353350
oct1074351700
9343334004
10150066112
1177787989
124230b994
1325123021
1415d04b60
15d294077
hex8f1d3c0

150066112 has 56 divisors (see below), whose sum is σ = 347618304. Its totient is φ = 62936832.

The previous prime is 150066073. The next prime is 150066143. The reversal of 150066112 is 211660051.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17493 + ... + 24619.

Almost surely, 2150066112 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 150066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173809152).

150066112 is an abundant number, since it is smaller than the sum of its proper divisors (197552192).

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

150066112 is an equidigital number, since it uses as much as digits as its factorization.

150066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 150066112 is about 12250.1474276843. The cubic root of 150066112 is about 531.4073336628.

The spelling of 150066112 in words is "one hundred fifty million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 7127 10528 14254 21056 28508 49889 57016 99778 114032 199556 228064 334969 399112 456128 669938 798224 1339876 1596448 2344783 2679752 3192896 4689566 5359504 9379132 10719008 18758264 21438016 37516528 75033056 150066112