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132078348 = 223219210163
BaseRepresentation
bin1111101111101…
…01101100001100
3100012112021102200
413313311230030
5232303001343
621034521500
73162435033
oct767655414
9305467380
10132078348
1168611466
1238296290
132149578c
141378171a
15b8de4d3
hex7df5b0c

132078348 has 54 divisors (see below), whose sum is σ = 352396044. Its totient is φ = 41704848.

The previous prime is 132078313. The next prime is 132078371. The reversal of 132078348 is 843870231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7915 + ... + 18077.

Almost surely, 2132078348 is an apocalyptic number.

132078348 is a gapful number since it is divisible by the number (18) 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 132078348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176198022).

132078348 is an abundant number, since it is smaller than the sum of its proper divisors (220317696).

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

132078348 is a wasteful number, since it uses less digits than its factorization.

132078348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 132078348 is about 11492.5344463264. The cubic root of 132078348 is about 509.2650544344.

The spelling of 132078348 in words is "one hundred thirty-two million, seventy-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 10163 12996 20326 30489 40652 60978 91467 121956 182934 193097 365868 386194 579291 772388 1158582 1737873 2317164 3475746 3668843 6951492 7337686 11006529 14675372 22013058 33019587 44026116 66039174 132078348