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133434672 = 2437397127
BaseRepresentation
bin1111111010000…
…00110100110000
3100022002011221220
413331000310300
5233124402142
621123545040
73210114240
oct775006460
9308064856
10133434672
1169358498
123882b180
132184bc37
1413a15b20
15baab2ec
hex7f40d30

133434672 has 40 divisors (see below), whose sum is σ = 393950976. Its totient is φ = 38124096.

The previous prime is 133434643. The next prime is 133434677. The reversal of 133434672 is 276434331.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133434677) 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 7 ways as a sum of consecutive naturals, for example, 198228 + ... + 198899.

Almost surely, 2133434672 is an apocalyptic number.

133434672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133434672 is an abundant number, since it is smaller than the sum of its proper divisors (260516304).

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

133434672 is a wasteful number, since it uses less digits than its factorization.

133434672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397145 (or 397139 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 133434672 is about 11551.3926433136. The cubic root of 133434672 is about 511.0023501130.

The spelling of 133434672 in words is "one hundred thirty-three million, four hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 397127 794254 1191381 1588508 2382762 2779889 3177016 4765524 5559778 6354032 8339667 9531048 11119556 16679334 19062096 22239112 33358668 44478224 66717336 133434672