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134015400 = 23325274453
BaseRepresentation
bin1111111110011…
…10100110101000
3100100011200120100
413333032212220
5233301443100
621144225400
73215053311
oct777164650
9310150510
10134015400
1169714832
1238a6b260
13219c336c
1413b27608
15bb73400
hex7fce9a8

134015400 has 72 divisors (see below), whose sum is σ = 450074430. Its totient is φ = 35736960.

The previous prime is 134015393. The next prime is 134015407. The reversal of 134015400 is 4510431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134015393) and next prime (134015407).

It can be written as a sum of positive squares in 3 ways, for example, as 79816356 + 54199044 = 8934^2 + 7362^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134015407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 35427 + ... + 39026.

Almost surely, 2134015400 is an apocalyptic number.

134015400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134015400 is an abundant number, since it is smaller than the sum of its proper divisors (316059030).

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

134015400 is a wasteful number, since it uses less digits than its factorization.

134015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74475 (or 74463 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134015400 is about 11576.5020623675. The cubic root of 134015400 is about 511.7425972590.

Adding to 134015400 its reverse (4510431), we get a palindrome (138525831).

The spelling of 134015400 in words is "one hundred thirty-four million, fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 74453 148906 223359 297812 372265 446718 595624 670077 744530 893436 1116795 1340154 1489060 1786872 1861325 2233590 2680308 2978120 3350385 3722650 4467180 5360616 5583975 6700770 7445300 8934360 11167950 13401540 14890600 16751925 22335900 26803080 33503850 44671800 67007700 134015400