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134431000 = 2353113101
BaseRepresentation
bin10000000001101…
…00000100011000
3100100221210122221
420000310010120
5233403243000
621201153424
73221434054
oct1000640430
9310853587
10134431000
1169979000
123902b874
1321b0a592
1413bd4c64
15bc0661a
hex8034118

134431000 has 128 divisors (see below), whose sum is σ = 349427520. Its totient is φ = 48400000.

The previous prime is 134430997. The next prime is 134431001. The reversal of 134431000 is 134431.

It is a super-2 number, since 2×1344310002 = 36143387522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330950 + ... + 1331050.

Almost surely, 2134431000 is an apocalyptic number.

134431000 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 134431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174713760).

134431000 is an abundant number, since it is smaller than the sum of its proper divisors (214996520).

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

134431000 is a wasteful number, since it uses less digits than its factorization.

134431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 134431000 is about 11594.4383218852. The cubic root of 134431000 is about 512.2710458584.

Adding to 134431000 its reverse (134431), we get a palindrome (134565431).

134431000 divided by its reverse (134431) gives a cube (1000 = 103).

It can be divided in two parts, 134 and 431000, that added together give a palindrome (431134).

The spelling of 134431000 in words is "one hundred thirty-four million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 125 200 202 220 242 250 275 404 440 484 500 505 550 605 808 968 1000 1010 1100 1111 1210 1331 1375 2020 2200 2222 2420 2525 2662 2750 3025 4040 4444 4840 5050 5324 5500 5555 6050 6655 8888 10100 10648 11000 11110 12100 12221 12625 13310 15125 20200 22220 24200 24442 25250 26620 27775 30250 33275 44440 48884 50500 53240 55550 60500 61105 66550 97768 101000 111100 121000 122210 133100 134431 138875 166375 222200 244420 266200 268862 277750 305525 332750 488840 537724 555500 611050 665500 672155 1075448 1111000 1222100 1331000 1344310 1527625 2444200 2688620 3055250 3360775 5377240 6110500 6721550 12221000 13443100 16803875 26886200 33607750 67215500 134431000