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132440064 = 213317317
BaseRepresentation
bin1111110010011…
…10000000000000
3100020012122121120
413321032000000
5232401040224
621050352240
73165502431
oct771160000
9306178546
10132440064
11688391a9
123842b680
1321591303
1413837488
15b961779
hex7e4e000

132440064 has 112 divisors (see below), whose sum is σ = 375105168. Its totient is φ = 41418752.

The previous prime is 132440059. The next prime is 132440069. The reversal of 132440064 is 460044231.

132440064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132440059) and next prime (132440069).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132440069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417634 + ... + 417950.

Almost surely, 2132440064 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 132440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187552584).

132440064 is an abundant number, since it is smaller than the sum of its proper divisors (242665104).

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

132440064 is an equidigital number, since it uses as much as digits as its factorization.

132440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 132440064 is about 11508.2606852643. The cubic root of 132440064 is about 509.7295297885.

Adding to 132440064 its reverse (460044231), we get a palindrome (592484295).

The spelling of 132440064 in words is "one hundred thirty-two million, four hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 317 384 408 512 544 634 768 816 951 1024 1088 1268 1536 1632 1902 2048 2176 2536 3072 3264 3804 4096 4352 5072 5389 6144 6528 7608 8192 8704 10144 10778 12288 13056 15216 16167 17408 20288 21556 24576 26112 30432 32334 34816 40576 43112 52224 60864 64668 69632 81152 86224 104448 121728 129336 139264 162304 172448 208896 243456 258672 324608 344896 417792 486912 517344 649216 689792 973824 1034688 1298432 1379584 1947648 2069376 2596864 2759168 3895296 4138752 5518336 7790592 8277504 11036672 16555008 22073344 33110016 44146688 66220032 132440064