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134806100 = 225211213857
BaseRepresentation
bin10000000100011…
…11101001010100
3100101122212012112
420002033221110
5234002243400
621213210152
73224555462
oct1002175124
9311585175
10134806100
116a104900
1239190958
1321c0c230
1413c91832
15bc7c835
hex808fa54

134806100 has 108 divisors (see below), whose sum is σ = 346678332. Its totient is φ = 45196800.

The previous prime is 134806099. The next prime is 134806109. The reversal of 134806100 is 1608431.

It can be written as a sum of positive squares in 6 ways, for example, as 894916 + 133911184 = 946^2 + 11572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134806109) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 156872 + ... + 157728.

Almost surely, 2134806100 is an apocalyptic number.

134806100 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 134806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173339166).

134806100 is an abundant number, since it is smaller than the sum of its proper divisors (211872232).

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

134806100 is a wasteful number, since it uses less digits than its factorization.

134806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 134806100 is about 11610.6029128551. The cubic root of 134806100 is about 512.7470631109.

The spelling of 134806100 in words is "one hundred thirty-four million, eight hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 220 242 260 275 286 325 484 550 572 605 650 715 857 1100 1210 1300 1430 1573 1714 2420 2860 3025 3146 3428 3575 4285 6050 6292 7150 7865 8570 9427 11141 12100 14300 15730 17140 18854 21425 22282 31460 37708 39325 42850 44564 47135 55705 78650 85700 94270 103697 111410 122551 157300 188540 207394 222820 235675 245102 278525 414788 471350 490204 518485 557050 612755 942700 1036970 1114100 1225510 1348061 2073940 2451020 2592425 2696122 3063775 5184850 5392244 6127550 6740305 10369700 12255100 13480610 26961220 33701525 67403050 134806100