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133493640 = 23357273311
BaseRepresentation
bin1111111010011…
…11001110001000
3100022012011211220
413331033032020
5233133244030
621125122040
73210451200
oct775171610
9308164756
10133493640
1169398825
1238859320
132186ca27
1413a2d400
15babda10
hex7f4f388

133493640 has 192 divisors, whose sum is σ = 473765760. Its totient is φ = 29998080.

The previous prime is 133493617. The next prime is 133493651. The reversal of 133493640 is 46394331.

133493640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 429085 + ... + 429395.

It is an arithmetic number, because the mean of its divisors is an integer number (2467530).

Almost surely, 2133493640 is an apocalyptic number.

133493640 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 133493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236882880).

133493640 is an abundant number, since it is smaller than the sum of its proper divisors (340272120).

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

133493640 is a wasteful number, since it uses less digits than its factorization.

133493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 133493640 is about 11553.9447808963. The cubic root of 133493640 is about 511.0776137817.

The spelling of 133493640 in words is "one hundred thirty-three million, four hundred ninety-three thousand, six hundred forty".