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133540272 = 2433309121
BaseRepresentation
bin1111111010110…
…10100110110000
3100022021112211000
413331122212300
5233141242042
621130122000
73211034145
oct775324660
9308245730
10133540272
116941a868
1238880300
1321888018
1413a423cc
15bacc74c
hex7f5a9b0

133540272 has 40 divisors (see below), whose sum is σ = 383311280. Its totient is φ = 44513280.

The previous prime is 133540261. The next prime is 133540291. The reversal of 133540272 is 272045331.

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

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, 154129 + ... + 154992.

It is an arithmetic number, because the mean of its divisors is an integer number (9582782).

Almost surely, 2133540272 is an apocalyptic number.

133540272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133540272 is an abundant number, since it is smaller than the sum of its proper divisors (249771008).

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

133540272 is a wasteful number, since it uses less digits than its factorization.

133540272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309138 (or 309126 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 133540272 is about 11555.9626167620. The cubic root of 133540272 is about 511.1371167332.

The spelling of 133540272 in words is "one hundred thirty-three million, five hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 309121 618242 927363 1236484 1854726 2472968 2782089 3709452 4945936 5564178 7418904 8346267 11128356 14837808 16692534 22256712 33385068 44513424 66770136 133540272