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132066176 = 271128527
BaseRepresentation
bin1111101111100…
…10101110000000
3100012111122201212
413313302232000
5232302104201
621034345252
73162354404
oct767625600
9305448655
10132066176
1168603300
123828b228
1321490088
141377b104
15b8daabb
hex7df2b80

132066176 has 48 divisors (see below), whose sum is σ = 289227120. Its totient is φ = 60023040.

The previous prime is 132066167. The next prime is 132066211. The reversal of 132066176 is 671660231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11225 + ... + 19751.

It is an arithmetic number, because the mean of its divisors is an integer number (6025565).

Almost surely, 2132066176 is an apocalyptic number.

132066176 is a gapful number since it is divisible by the number (16) 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 132066176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144613560).

132066176 is an abundant number, since it is smaller than the sum of its proper divisors (157160944).

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

132066176 is an equidigital number, since it uses as much as digits as its factorization.

132066176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 132066176 is about 11492.0048729541. The cubic root of 132066176 is about 509.2494097690.

The spelling of 132066176 in words is "one hundred thirty-two million, sixty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 8527 15488 17054 34108 68216 93797 136432 187594 272864 375188 545728 750376 1031767 1091456 1500752 2063534 3001504 4127068 6003008 8254136 12006016 16508272 33016544 66033088 132066176