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134442200 = 23526779127
BaseRepresentation
bin10000000001101…
…10110011011000
3100100222101000202
420000312303120
5233404122300
621201321332
73221511524
oct1000666330
9310871022
10134442200
1169986462
1239036248
1321b126c9
1413bd8d84
15bc09ad5
hex8036cd8

134442200 has 96 divisors (see below), whose sum is σ = 323788800. Its totient is φ = 51891840.

The previous prime is 134442197. The next prime is 134442221. The reversal of 134442200 is 2244431.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058537 + ... + 1058663.

It is an arithmetic number, because the mean of its divisors is an integer number (3372800).

Almost surely, 2134442200 is an apocalyptic number.

134442200 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 134442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

134442200 is an abundant number, since it is smaller than the sum of its proper divisors (189346600).

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

134442200 is a wasteful number, since it uses less digits than its factorization.

134442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 134442200 is about 11594.9213020184. The cubic root of 134442200 is about 512.2852719332.

Adding to 134442200 its reverse (2244431), we get a palindrome (136686631).

The spelling of 134442200 in words is "one hundred thirty-four million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 79 100 127 134 158 200 254 268 316 335 395 508 536 632 635 670 790 1016 1270 1340 1580 1675 1975 2540 2680 3160 3175 3350 3950 5080 5293 6350 6700 7900 8509 10033 10586 12700 13400 15800 17018 20066 21172 25400 26465 34036 40132 42344 42545 50165 52930 68072 80264 85090 100330 105860 132325 170180 200660 211720 212725 250825 264650 340360 401320 425450 501650 529300 672211 850900 1003300 1058600 1344422 1701800 2006600 2688844 3361055 5377688 6722110 13444220 16805275 26888440 33610550 67221100 134442200