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147096132 = 22323618737
BaseRepresentation
bin10001100010010…
…00001001000100
3101020210020221220
420301020021010
5300124034012
622332440340
73434203461
oct1061101104
9336706856
10147096132
1176039557
12413190b0
1324623241
1415770668
15cda908c
hex8c48244

147096132 has 48 divisors (see below), whose sum is σ = 364060032. Its totient is φ = 46126080.

The previous prime is 147096083. The next prime is 147096133. The reversal of 147096132 is 231690741.

It is a super-2 number, since 2×1470961322 = 43274544098722848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147096093 and 147096102.

It is not an unprimeable number, because it can be changed into a prime (147096133) 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, 12468 + ... + 21204.

It is an arithmetic number, because the mean of its divisors is an integer number (7584584).

Almost surely, 2147096132 is an apocalyptic number.

147096132 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 147096132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182030016).

147096132 is an abundant number, since it is smaller than the sum of its proper divisors (216963900).

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

147096132 is a wasteful number, since it uses less digits than its factorization.

147096132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 147096132 is about 12128.3194219150. The cubic root of 147096132 is about 527.8782289203.

The spelling of 147096132 in words is "one hundred forty-seven million, ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 1403 2806 4209 5612 8418 8737 16836 17474 26211 34948 52422 104844 200951 401902 532957 602853 803804 1065914 1205706 1598871 2131828 2411412 3197742 6395484 12258011 24516022 36774033 49032044 73548066 147096132