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132676398 = 232172811543
BaseRepresentation
bin1111110100001…
…11101100101110
3100020122122210200
413322013230232
5232431121043
621055414330
73200505441
oct772075456
9306578720
10132676398
116898a818
12385243a6
1321644a5a
1413899658
15b9ab7d3
hex7e87b2e

132676398 has 48 divisors (see below), whose sum is σ = 305656416. Its totient is φ = 41448960.

The previous prime is 132676393. The next prime is 132676409. The reversal of 132676398 is 893676231.

132676398 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 7 + 639 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132676391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85215 + ... + 86757.

It is an arithmetic number, because the mean of its divisors is an integer number (6367842).

Almost surely, 2132676398 is an apocalyptic number.

132676398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132676398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152828208).

132676398 is an abundant number, since it is smaller than the sum of its proper divisors (172980018).

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

132676398 is a wasteful number, since it uses less digits than its factorization.

132676398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1846 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 132676398 is about 11518.5241242097. The cubic root of 132676398 is about 510.0325469425.

The spelling of 132676398 in words is "one hundred thirty-two million, six hundred seventy-six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 281 306 562 843 1543 1686 2529 3086 4629 4777 5058 9258 9554 13887 14331 26231 27774 28662 42993 52462 78693 85986 157386 236079 433583 472158 867166 1300749 2601498 3902247 7370911 7804494 14741822 22112733 44225466 66338199 132676398