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133013440 = 2657217499
BaseRepresentation
bin1111110110110…
…01111111000000
3100021021210010201
413323121333000
5233022412230
621110534544
73203411200
oct773317700
9307253121
10133013440
116909aa6a
1238667454
13217322a1
1413946400
15ba265ca
hex7ed9fc0

133013440 has 168 divisors, whose sum is σ = 390906000. Its totient is φ = 42835968.

The previous prime is 133013417. The next prime is 133013453. The reversal of 133013440 is 44310331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266311 + ... + 266809.

Almost surely, 2133013440 is an apocalyptic number.

133013440 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 133013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195453000).

133013440 is an abundant number, since it is smaller than the sum of its proper divisors (257892560).

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

133013440 is a wasteful number, since it uses less digits than its factorization.

133013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 133013440 is about 11533.1452778503. The cubic root of 133013440 is about 510.4640656209.

Adding to 133013440 its reverse (44310331), we get a palindrome (177323771).

The spelling of 133013440 in words is "one hundred thirty-three million, thirteen thousand, four hundred forty".