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134663220 = 223251495021
BaseRepresentation
bin10000000011011…
…00110000110100
3100101101121012200
420001230300310
5233433210340
621210144500
73223422066
oct1001546064
9311347180
10134663220
116a01751a
1239122130
1321b8c1a3
1413c55736
15bc50330
hex806cc34

134663220 has 72 divisors (see below), whose sum is σ = 411301800. Its totient is φ = 35662080.

The previous prime is 134663167. The next prime is 134663231. The reversal of 134663220 is 22366431.

134663220 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 632 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15023376 + 119639844 = 3876^2 + 10938^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24310 + ... + 29330.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2134663220 is an apocalyptic number.

134663220 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 134663220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205650900).

134663220 is an abundant number, since it is smaller than the sum of its proper divisors (276638580).

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

134663220 is a wasteful number, since it uses less digits than its factorization.

134663220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 134663220 is about 11604.4482850328. The cubic root of 134663220 is about 512.5658467844.

The spelling of 134663220 in words is "one hundred thirty-four million, six hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5021 5364 6705 8940 10042 13410 15063 20084 25105 26820 30126 45189 50210 60252 75315 90378 100420 150630 180756 225945 301260 451890 748129 903780 1496258 2244387 2992516 3740645 4488774 6733161 7481290 8977548 11221935 13466322 14962580 22443870 26932644 33665805 44887740 67331610 134663220