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133076608 = 277197817
BaseRepresentation
bin1111110111010…
…01011010000000
3100021101222210021
413323221122000
5233031422413
621112143224
73204063310
oct773513200
9307358707
10133076608
1169133475
1238697b14
1321754c72
1413961440
15ba3a18d
hex7ee9680

133076608 has 64 divisors (see below), whose sum is σ = 318974400. Its totient is φ = 54024192.

The previous prime is 133076579. The next prime is 133076651. The reversal of 133076608 is 806670331.

133076608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 13116 + ... + 20932.

It is an arithmetic number, because the mean of its divisors is an integer number (4983975).

Almost surely, 2133076608 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 133076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159487200).

133076608 is an abundant number, since it is smaller than the sum of its proper divisors (185897792).

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

133076608 is an equidigital number, since it uses as much as digits as its factorization.

133076608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 133076608 is about 11535.8834945573. The cubic root of 133076608 is about 510.5448591885.

The spelling of 133076608 in words is "one hundred thirty-three million, seventy-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 7817 8512 15634 17024 31268 54719 62536 109438 125072 148523 218876 250144 297046 437752 500288 594092 875504 1000576 1039661 1188184 1751008 2079322 2376368 3502016 4158644 4752736 7004032 8317288 9505472 16634576 19010944 33269152 66538304 133076608