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132348608 = 26736029
BaseRepresentation
bin1111110001101…
…11101011000000
3100020001000011022
413320313223000
5232340123413
621044405012
73164642000
oct770675300
9306030138
10132348608
1168786517
12383a6768
132155b7b2
1413812000
15b944608
hex7e37ac0

132348608 has 56 divisors (see below), whose sum is σ = 306324000. Its totient is φ = 56711424.

The previous prime is 132348599. The next prime is 132348611. The reversal of 132348608 is 806843231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18938 + ... + 24966.

Almost surely, 2132348608 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 132348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153162000).

132348608 is an abundant number, since it is smaller than the sum of its proper divisors (173975392).

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

132348608 is an frugal number, since it uses more digits than its factorization.

132348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 132348608 is about 11504.2865054726. The cubic root of 132348608 is about 509.6121721522.

The spelling of 132348608 in words is "one hundred thirty-two million, three hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5488 6029 10976 12058 21952 24116 42203 48232 84406 96464 168812 192928 295421 337624 385856 590842 675248 1181684 1350496 2067947 2363368 2700992 4135894 4726736 8271788 9453472 16543576 18906944 33087152 66174304 132348608