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133880064 = 283473709
BaseRepresentation
bin1111111101011…
…01100100000000
3100022220210220220
413332231210000
5233233130224
621141303040
73213650613
oct776554400
9308823826
10133880064
116963208a
1238a04a80
1321976896
1413ad017a
15bb48279
hex7fad900

133880064 has 72 divisors (see below), whose sum is σ = 363995520. Its totient is φ = 43665408.

The previous prime is 133880053. The next prime is 133880077. The reversal of 133880064 is 460088331.

It is a nialpdrome in base 8.

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, 34242 + ... + 37950.

Almost surely, 2133880064 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 133880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181997760).

133880064 is an abundant number, since it is smaller than the sum of its proper divisors (230115456).

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

133880064 is an equidigital number, since it uses as much as digits as its factorization.

133880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 133880064 is about 11570.6552969138. The cubic root of 133880064 is about 511.5702774548.

The spelling of 133880064 in words is "one hundred thirty-three million, eight hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 3709 4512 6016 7418 9024 11127 12032 14836 18048 22254 29672 36096 44508 59344 89016 118688 174323 178032 237376 348646 356064 474752 522969 697292 712128 949504 1045938 1394584 1424256 2091876 2789168 2848512 4183752 5578336 8367504 11156672 16735008 22313344 33470016 44626688 66940032 133880064