Search a number
-
+
134421760 = 285119547
BaseRepresentation
bin10000000001100…
…01110100000000
3100100221022222201
420000301310000
5233402444020
621201042544
73221365114
oct1000616400
9310838881
10134421760
1169972070
1239026454
1321b06305
1413bd1744
15bc03a0a
hex8031d00

134421760 has 72 divisors (see below), whose sum is σ = 351290016. Its totient is φ = 48875520.

The previous prime is 134421733. The next prime is 134421761. The reversal of 134421760 is 67124431.

It is a super-2 number, since 2×1344217602 = 36138419122995200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134421761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9307 + ... + 18853.

It is an arithmetic number, because the mean of its divisors is an integer number (4879028).

Almost surely, 2134421760 is an apocalyptic number.

134421760 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 134421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175645008).

134421760 is an abundant number, since it is smaller than the sum of its proper divisors (216868256).

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

134421760 is an equidigital number, since it uses as much as digits as its factorization.

134421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 134421760 is about 11594.0398481289. The cubic root of 134421760 is about 512.2593087519.

It can be divided in two parts, 1344 and 21760, that added together give a square (23104 = 1522).

The spelling of 134421760 in words is "one hundred thirty-four million, four hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 9547 14080 19094 38188 47735 76376 95470 105017 152752 190940 210034 305504 381880 420068 525085 611008 763760 840136 1050170 1222016 1527520 1680272 2100340 2444032 3055040 3360544 4200680 6110080 6721088 8401360 12220160 13442176 16802720 26884352 33605440 67210880 134421760