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133743720 = 233511261151
BaseRepresentation
bin1111111100011…
…00010001101000
3100022122212220010
413332030101220
5233214244340
621134331520
73212542245
oct776142150
9308585803
10133743720
1169549700
1238959ba0
13219297c6
1413a965cc
15bb1cb80
hex7f8c468

133743720 has 192 divisors, whose sum is σ = 451221120. Its totient is φ = 31680000.

The previous prime is 133743719. The next prime is 133743733. The reversal of 133743720 is 27347331.

133743720 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885645 + ... + 885795.

It is an arithmetic number, because the mean of its divisors is an integer number (2350110).

Almost surely, 2133743720 is an apocalyptic number.

133743720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133743720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

133743720 is an abundant number, since it is smaller than the sum of its proper divisors (317477400).

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

133743720 is a wasteful number, since it uses less digits than its factorization.

133743720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 133743720 is about 11564.7619949569. The cubic root of 133743720 is about 511.3965567206.

The spelling of 133743720 in words is "one hundred thirty-three million, seven hundred forty-three thousand, seven hundred twenty".