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132434064 = 2432721372
BaseRepresentation
bin1111110010011…
…00100010010000
3100020012100101100
413321030202100
5232400342224
621050304400
73165446100
oct771144220
9306170340
10132434064
1168834744
1238428100
132158b669
1413835200
15b95eac9
hex7e4c890

132434064 has 135 divisors (see below), whose sum is σ = 434312697. Its totient is φ = 37562112.

The previous prime is 132434051. The next prime is 132434083. The reversal of 132434064 is 460434231.

The square root of 132434064 is 11508.

It is a perfect power (a square), and thus also a powerful number.

132434064 is a `hidden beast` number, since 13 + 243 + 406 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 54641664 = 8820^2 + 7392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 966604 + ... + 966740.

Almost surely, 2132434064 is an apocalyptic number.

132434064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132434064 is the 11508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132434064

132434064 is an abundant number, since it is smaller than the sum of its proper divisors (301878633).

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

132434064 is a wasteful number, since it uses less digits than its factorization.

132434064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The cubic root of 132434064 is about 509.7218321597.

Adding to 132434064 its reverse (460434231), we get a palindrome (592868295).

The spelling of 132434064 in words is "one hundred thirty-two million, four hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 137 144 147 168 196 252 274 294 336 392 411 441 504 548 588 784 822 882 959 1008 1096 1176 1233 1644 1764 1918 2192 2352 2466 2877 3288 3528 3836 4932 5754 6576 6713 7056 7672 8631 9864 11508 13426 15344 17262 18769 19728 20139 23016 26852 34524 37538 40278 46032 53704 56307 60417 69048 75076 80556 107408 112614 120834 131383 138096 150152 161112 168921 225228 241668 262766 300304 322224 337842 394149 450456 483336 525532 675684 788298 900912 919681 966672 1051064 1182447 1351368 1576596 1839362 2102128 2364894 2702736 2759043 3153192 3678724 4729788 5518086 6306384 7357448 8277129 9459576 11036172 14714896 16554258 18919152 22072344 33108516 44144688 66217032 132434064