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134103120 = 24351573559
BaseRepresentation
bin1111111111001…
…00000001010000
3100100100010220020
413333210001100
5233312244440
621150143440
73215600124
oct777440120
9310303806
10134103120
1169774728
1238ab1b80
1321a24278
1413b4b584
15bb8e3d0
hex7fe4050

134103120 has 80 divisors (see below), whose sum is σ = 418485120. Its totient is φ = 35523072.

The previous prime is 134103107. The next prime is 134103143. The reversal of 134103120 is 21301431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1341031203 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134103120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35901 + ... + 39459.

It is an arithmetic number, because the mean of its divisors is an integer number (5231064).

Almost surely, 2134103120 is an apocalyptic number.

134103120 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 134103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209242560).

134103120 is an abundant number, since it is smaller than the sum of its proper divisors (284382000).

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

134103120 is a wasteful number, since it uses less digits than its factorization.

134103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 134103120 is about 11580.2901518054. The cubic root of 134103120 is about 511.8542268924.

Adding to 134103120 its reverse (21301431), we get a palindrome (155404551).

The spelling of 134103120 in words is "one hundred thirty-four million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3559 3768 4710 6280 7118 7536 9420 10677 12560 14236 17795 18840 21354 28472 35590 37680 42708 53385 56944 71180 85416 106770 142360 170832 213540 284720 427080 558763 854160 1117526 1676289 2235052 2793815 3352578 4470104 5587630 6705156 8381445 8940208 11175260 13410312 16762890 22350520 26820624 33525780 44701040 67051560 134103120