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132668032 = 277197793
BaseRepresentation
bin1111110100001…
…01101010000000
3100020122020022211
413322011222000
5232430334112
621055311504
73200442160
oct772055200
9306566284
10132668032
1168984502
123851b594
1321640cc3
14138965a0
15b9a90a7
hex7e85a80

132668032 has 64 divisors (see below), whose sum is σ = 317995200. Its totient is φ = 53858304.

The previous prime is 132667999. The next prime is 132668033. The reversal of 132668032 is 230866231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132667985 and 132668003.

It is not an unprimeable number, because it can be changed into a prime (132668033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13128 + ... + 20920.

It is an arithmetic number, because the mean of its divisors is an integer number (4968675).

Almost surely, 2132668032 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 132668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158997600).

132668032 is an abundant number, since it is smaller than the sum of its proper divisors (185327168).

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

132668032 is an equidigital number, since it uses as much as digits as its factorization.

132668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 132668032 is about 11518.1609643206. The cubic root of 132668032 is about 510.0218265681.

The spelling of 132668032 in words is "one hundred thirty-two million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 7793 8512 15586 17024 31172 54551 62344 109102 124688 148067 218204 249376 296134 436408 498752 592268 872816 997504 1036469 1184536 1745632 2072938 2369072 3491264 4145876 4738144 6982528 8291752 9476288 16583504 18952576 33167008 66334016 132668032