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134013220 = 225111075693
BaseRepresentation
bin1111111110011…
…10000100100100
3100100011120120121
413333032010210
5233301410340
621144211324
73215044045
oct777160444
9310146517
10134013220
1169713130
1238a69b44
13219c2383
1413b268cc
15bb7294a
hex7fce124

134013220 has 48 divisors (see below), whose sum is σ = 309935808. Its totient is φ = 48268160.

The previous prime is 134013127. The next prime is 134013233. The reversal of 134013220 is 22310431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134013194 and 134013203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20694 + ... + 26386.

It is an arithmetic number, because the mean of its divisors is an integer number (6456996).

Almost surely, 2134013220 is an apocalyptic number.

134013220 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 134013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904).

134013220 is an abundant number, since it is smaller than the sum of its proper divisors (175922588).

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

134013220 is a wasteful number, since it uses less digits than its factorization.

134013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 134013220 is about 11576.4079057366. The cubic root of 134013220 is about 511.7398224413.

Adding to 134013220 its reverse (22310431), we get a palindrome (156323651).

The spelling of 134013220 in words is "one hundred thirty-four million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5693 5885 11386 11770 22772 23540 28465 56930 62623 113860 125246 250492 313115 609151 626230 1218302 1252460 2436604 3045755 6091510 6700661 12183020 13401322 26802644 33503305 67006610 134013220