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132640064 = 261925741
BaseRepresentation
bin1111110011111…
…10110101000000
3100020120210221222
413321332311000
5232423440224
621054534212
73200264504
oct771766500
9306523858
10132640064
1168965497
1238507368
132163135b
141388a304
15b9a0b5e
hex7e7ed40

132640064 has 42 divisors (see below), whose sum is σ = 277838154. Its totient is φ = 62818560.

The previous prime is 132640021. The next prime is 132640073. The reversal of 132640064 is 460046231.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 19430464 = 10640^2 + 4408^2 .

It is a congruent number.

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, 20234 + ... + 25974.

Almost surely, 2132640064 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 132640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138919077).

132640064 is an abundant number, since it is smaller than the sum of its proper divisors (145198090).

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

132640064 is an equidigital number, since it uses as much as digits as its factorization.

132640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 132640064 is about 11516.9468176249. The cubic root of 132640064 is about 509.9859844924.

Adding to 132640064 its reverse (460046231), we get a palindrome (592686295).

It can be divided in two parts, 132 and 640064, that multiplied together give a palindrome (84488448).

The spelling of 132640064 in words is "one hundred thirty-two million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5741 5776 11482 11552 22964 23104 45928 91856 109079 183712 218158 367424 436316 872632 1745264 2072501 3490528 4145002 6981056 8290004 16580008 33160016 66320032 132640064