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133311440 = 2451666393
BaseRepresentation
bin1111111001000…
…10101111010000
3100021211220220202
413330202233100
5233111431230
621121154332
73206062043
oct774425720
9307756822
10133311440
1169283949
123878b9a8
1321807b12
14139c2c5a
15ba84a45
hex7f22bd0

133311440 has 20 divisors (see below), whose sum is σ = 309949284. Its totient is φ = 53324544.

The previous prime is 133311403. The next prime is 133311457. The reversal of 133311440 is 44113331.

It can be written as a sum of positive squares in 2 ways, for example, as 20866624 + 112444816 = 4568^2 + 10604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833117 + ... + 833276.

Almost surely, 2133311440 is an apocalyptic number.

133311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133311440 is an abundant number, since it is smaller than the sum of its proper divisors (176637844).

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

133311440 is a wasteful number, since it uses less digits than its factorization.

133311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666406 (or 1666400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 133311440 is about 11546.0573357315. The cubic root of 133311440 is about 510.8449916187.

Adding to 133311440 its reverse (44113331), we get a palindrome (177424771).

The spelling of 133311440 in words is "one hundred thirty-three million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1666393 3332786 6665572 8331965 13331144 16663930 26662288 33327860 66655720 133311440