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132070688 = 2517214281
BaseRepresentation
bin1111101111100…
…11110100100000
3100012111212220222
413313303310200
5232302230223
621034422212
73162403511
oct767636440
9305455828
10132070688
1168606732
1238291968
1321492149
141377ca08
15b8dc0c8
hex7df3d20

132070688 has 36 divisors (see below), whose sum is σ = 276228162. Its totient is φ = 62146560.

The previous prime is 132070667. The next prime is 132070703. The reversal of 132070688 is 886070231.

It can be written as a sum of positive squares in 3 ways, for example, as 103469584 + 28601104 = 10172^2 + 5348^2 .

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, 2108 + ... + 16388.

Almost surely, 2132070688 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 132070688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138114081).

132070688 is an abundant number, since it is smaller than the sum of its proper divisors (144157474).

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

132070688 is a wasteful number, since it uses less digits than its factorization.

132070688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14325 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 132070688 is about 11492.2011816710. The cubic root of 132070688 is about 509.2552091524.

The spelling of 132070688 in words is "one hundred thirty-two million, seventy thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 9248 14281 28562 57124 114248 228496 242777 456992 485554 971108 1942216 3884432 4127209 7768864 8254418 16508836 33017672 66035344 132070688