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132638296 = 2372563601
BaseRepresentation
bin1111110011111…
…10011001011000
3100020120201112111
413321332121120
5232423411141
621054522104
73200256400
oct771763130
9306521474
10132638296
116896412a
1238506334
13216305cb
1413889800
15b9a0381
hex7e7e658

132638296 has 48 divisors (see below), whose sum is σ = 290296440. Its totient is φ = 56649600.

The previous prime is 132638293. The next prime is 132638323. The reversal of 132638296 is 692836231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132638293) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 220396 + ... + 220996.

Almost surely, 2132638296 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 132638296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145148220).

132638296 is an abundant number, since it is smaller than the sum of its proper divisors (157658144).

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

132638296 is a wasteful number, since it uses less digits than its factorization.

132638296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 132638296 is about 11516.8700609150. The cubic root of 132638296 is about 509.9837185626.

The spelling of 132638296 in words is "one hundred thirty-two million, six hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 563 601 1126 1202 2252 2404 3941 4207 4504 4808 7882 8414 15764 16828 27587 29449 31528 33656 55174 58898 110348 117796 220696 235592 338363 676726 1353452 2368541 2706904 4737082 9474164 16579787 18948328 33159574 66319148 132638296