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132808704 = 21537193
BaseRepresentation
bin1111110101010…
…00000000000000
3100020220101021220
413322220000000
5232444334304
621102315040
73201566250
oct772500000
9306811256
10132808704
1168a70166
1238588a80
1321690042
14138d1960
15b9d5ad9
hex7ea8000

132808704 has 128 divisors (see below), whose sum is σ = 406841280. Its totient is φ = 37748736.

The previous prime is 132808679. The next prime is 132808723. The reversal of 132808704 is 407808231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688032 + ... + 688224.

Almost surely, 2132808704 is an apocalyptic number.

132808704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203420640).

132808704 is an abundant number, since it is smaller than the sum of its proper divisors (274032576).

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

132808704 is an frugal number, since it uses more digits than its factorization.

132808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 132808704 is about 11524.2658768357. The cubic root of 132808704 is about 510.2020268423.

The spelling of 132808704 in words is "one hundred thirty-two million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 256 336 384 386 448 512 579 672 768 772 896 1024 1158 1344 1351 1536 1544 1792 2048 2316 2688 2702 3072 3088 3584 4053 4096 4632 5376 5404 6144 6176 7168 8106 8192 9264 10752 10808 12288 12352 14336 16212 16384 18528 21504 21616 24576 24704 28672 32424 32768 37056 43008 43232 49152 49408 57344 64848 74112 86016 86464 98304 98816 114688 129696 148224 172032 172928 197632 229376 259392 296448 344064 345856 395264 518784 592896 688128 691712 790528 1037568 1185792 1383424 1581056 2075136 2371584 2766848 3162112 4150272 4743168 5533696 6324224 8300544 9486336 11067392 16601088 18972672 22134784 33202176 44269568 66404352 132808704