Search a number
-
+
133286304 = 2536732063
BaseRepresentation
bin1111111000111…
…00100110100000
3100021210122102210
413330130212200
5233110130204
621120442120
73205625544
oct774344640
9307718383
10133286304
1169266a78
1238779340
13217c9548
14139b7a24
15ba7c389
hex7f1c9a0

133286304 has 48 divisors (see below), whose sum is σ = 350566272. Its totient is φ = 44341248.

The previous prime is 133286227. The next prime is 133286317. The reversal of 133286304 is 403682331.

133286304 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 (48).

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, 63577 + ... + 65639.

It is an arithmetic number, because the mean of its divisors is an integer number (7303464).

Almost surely, 2133286304 is an apocalyptic number.

It is an amenable number.

133286304 is an abundant number, since it is smaller than the sum of its proper divisors (217279968).

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

133286304 is a wasteful number, since it uses less digits than its factorization.

133286304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 133286304 is about 11544.9687743190. The cubic root of 133286304 is about 510.8128828294.

The spelling of 133286304 in words is "one hundred thirty-three million, two hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 673 1346 2019 2063 2692 4038 4126 5384 6189 8076 8252 10768 12378 16152 16504 21536 24756 32304 33008 49512 64608 66016 99024 198048 1388399 2776798 4165197 5553596 8330394 11107192 16660788 22214384 33321576 44428768 66643152 133286304