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134123430 = 235747107127
BaseRepresentation
bin1111111111010…
…00111110100110
3100100101011202110
413333220332212
5233313422210
621150421450
73216013260
oct777507646
9310334673
10134123430
1169788a11
1238b01886
1321a3059c
1413b54b30
15bb95420
hex7fe8fa6

134123430 has 128 divisors (see below), whose sum is σ = 382205952. Its totient is φ = 29490048.

The previous prime is 134123399. The next prime is 134123449. The reversal of 134123430 is 34321431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 134123397 and 134123406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056027 + ... + 1056153.

It is an arithmetic number, because the mean of its divisors is an integer number (2985984).

Almost surely, 2134123430 is an apocalyptic number.

134123430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191102976).

134123430 is an abundant number, since it is smaller than the sum of its proper divisors (248082522).

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

134123430 is a wasteful number, since it uses less digits than its factorization.

134123430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 134123430 is about 11581.1670396381. The cubic root of 134123430 is about 511.8800658004.

Adding to 134123430 its reverse (34321431), we get a palindrome (168444861).

The spelling of 134123430 in words is "one hundred thirty-four million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 107 127 141 210 214 235 254 282 321 329 381 470 535 635 642 658 705 749 762 889 987 1070 1270 1410 1498 1605 1645 1778 1905 1974 2247 2667 3210 3290 3745 3810 4445 4494 4935 5029 5334 5969 7490 8890 9870 10058 11235 11938 13335 13589 15087 17907 22470 25145 26670 27178 29845 30174 35203 35814 40767 41783 50290 59690 67945 70406 75435 81534 83566 89535 95123 105609 125349 135890 150870 176015 179070 190246 203835 208915 211218 250698 285369 352030 407670 417830 475615 528045 570738 626745 638683 951230 1056090 1253490 1277366 1426845 1916049 2853690 3193415 3832098 4470781 6386830 8941562 9580245 13412343 19160490 22353905 26824686 44707810 67061715 134123430