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133400600 = 23523132131
BaseRepresentation
bin1111111001110…
…00100000011000
3100022000110012222
413330320200120
5233122304400
621123123212
73206613014
oct774704030
9308013188
10133400600
1169334933
1238813508
1321839588
1413a07544
15baa1185
hex7f38818

133400600 has 48 divisors (see below), whose sum is σ = 311293320. Its totient is φ = 53164800.

The previous prime is 133400569. The next prime is 133400611. The reversal of 133400600 is 6004331.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61535 + ... + 63665.

Almost surely, 2133400600 is an apocalyptic number.

133400600 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 133400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155646660).

133400600 is an abundant number, since it is smaller than the sum of its proper divisors (177892720).

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

133400600 is a wasteful number, since it uses less digits than its factorization.

133400600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133400600 is about 11549.9177486249. The cubic root of 133400600 is about 510.9588522875.

Adding to 133400600 its reverse (6004331), we get a palindrome (139404931).

The spelling of 133400600 in words is "one hundred thirty-three million, four hundred thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1252 1565 2131 2504 3130 4262 6260 7825 8524 10655 12520 15650 17048 21310 31300 42620 53275 62600 85240 106550 213100 426200 667003 1334006 2668012 3335015 5336024 6670030 13340060 16675075 26680120 33350150 66700300 133400600