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150732132 = 223171734271
BaseRepresentation
bin10001111101111…
…11110101100100
3101111121222121120
420332333311210
5302041412012
622542413540
73510126165
oct1076776544
9344558546
10150732132
11780a2311
12425912b0
13252c7215
141603976c
15d37658c
hex8fbfd64

150732132 has 48 divisors (see below), whose sum is σ = 374637312. Its totient is φ = 47004160.

The previous prime is 150732121. The next prime is 150732139. The reversal of 150732132 is 231237051.

It is not an unprimeable number, because it can be changed into a prime (150732139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33157 + ... + 37427.

It is an arithmetic number, because the mean of its divisors is an integer number (7804944).

Almost surely, 2150732132 is an apocalyptic number.

150732132 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 150732132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187318656).

150732132 is an abundant number, since it is smaller than the sum of its proper divisors (223905180).

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

150732132 is a wasteful number, since it uses less digits than its factorization.

150732132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 150732132 is about 12277.3014950355. The cubic root of 150732132 is about 532.1923334575.

Adding to 150732132 its reverse (231237051), we get a palindrome (381969183).

It can be divided in two parts, 15073 and 2132, that added together give a triangular number (17205 = T185).

The spelling of 150732132 in words is "one hundred fifty million, seven hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 173 204 346 519 692 1038 2076 2941 4271 5882 8542 8823 11764 12813 17084 17646 25626 35292 51252 72607 145214 217821 290428 435642 738883 871284 1477766 2216649 2955532 4433298 8866596 12561011 25122022 37683033 50244044 75366066 150732132