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133432272 = 243534319
BaseRepresentation
bin1111111010000…
…00001111010000
3100022002001200000
413331000033100
5233124313042
621123530000
73210104241
oct775001720
9308061600
10133432272
1169356706
1238829900
132184ab0c
1413a14cc8
15baaa74c
hex7f403d0

133432272 has 60 divisors (see below), whose sum is σ = 387266880. Its totient is φ = 44476128.

The previous prime is 133432253. The next prime is 133432279. The reversal of 133432272 is 272234331.

133432272 is a `hidden beast` number, since 1 + 334 + 322 + 7 + 2 = 666.

It is a super-2 number, since 2×1334322722 = 35608342422163968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133432279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13272 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (6454448).

Almost surely, 2133432272 is an apocalyptic number.

133432272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133432272 is an abundant number, since it is smaller than the sum of its proper divisors (253834608).

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

133432272 is an equidigital number, since it uses as much as digits as its factorization.

133432272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34342 (or 34324 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 133432272 is about 11551.2887592684. The cubic root of 133432272 is about 510.9992864090. Note that the first 3 decimals are identical.

The spelling of 133432272 in words is "one hundred thirty-three million, four hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 34319 68638 102957 137276 205914 274552 308871 411828 549104 617742 823656 926613 1235484 1647312 1853226 2470968 2779839 3706452 4941936 5559678 7412904 8339517 11119356 14825808 16679034 22238712 33358068 44477424 66716136 133432272