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134241000 = 23353291543
BaseRepresentation
bin10000000000001…
…01101011101000
3100100121011000220
420000011223220
5233331203000
621153130040
73220013115
oct1000055350
9310534026
10134241000
1169859283
1238b59920
1321a71c5a
1413b8590c
15bbba1a0
hex8005ae8

134241000 has 128 divisors (see below), whose sum is σ = 433555200. Its totient is φ = 34540800.

The previous prime is 134240983. The next prime is 134241013. The reversal of 134241000 is 142431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86229 + ... + 87771.

It is an arithmetic number, because the mean of its divisors is an integer number (3387150).

Almost surely, 2134241000 is an apocalyptic number.

134241000 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 134241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216777600).

134241000 is an abundant number, since it is smaller than the sum of its proper divisors (299314200).

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

134241000 is a wasteful number, since it uses less digits than its factorization.

134241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134241000 is about 11586.2418410803. The cubic root of 134241000 is about 512.0295901681.

Adding to 134241000 its reverse (142431), we get a palindrome (134383431).

The spelling of 134241000 in words is "one hundred thirty-four million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1543 1740 2175 2900 3000 3086 3480 3625 4350 4629 5800 6172 7250 7715 8700 9258 10875 12344 14500 15430 17400 18516 21750 23145 29000 30860 37032 38575 43500 44747 46290 61720 77150 87000 89494 92580 115725 134241 154300 178988 185160 192875 223735 231450 268482 308600 357976 385750 447470 462900 536964 578625 671205 771500 894940 925800 1073928 1118675 1157250 1342410 1543000 1789880 2237350 2314500 2684820 3356025 4474700 4629000 5369640 5593375 6712050 8949400 11186750 13424100 16780125 22373500 26848200 33560250 44747000 67120500 134241000