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134080320 = 26351112697
BaseRepresentation
bin1111111110111…
…10011101000000
3100100021222121210
413333132131000
5233311032240
621145450120
73215443503
oct777363500
9310258553
10134080320
1169759590
1238aa0940
1321a16a8a
1413b4313a
15bb87780
hex7fde740

134080320 has 112 divisors (see below), whose sum is σ = 464442048. Its totient is φ = 32501760.

The previous prime is 134080279. The next prime is 134080339. The reversal of 134080320 is 23080431.

It is a happy number.

134080320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1340803202 = 35955064422604800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4212 + ... + 16908.

It is an arithmetic number, because the mean of its divisors is an integer number (4146804).

Almost surely, 2134080320 is an apocalyptic number.

134080320 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 134080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232221024).

134080320 is an abundant number, since it is smaller than the sum of its proper divisors (330361728).

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

134080320 is a wasteful number, since it uses less digits than its factorization.

134080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 134080320 is about 11579.3056786666. The cubic root of 134080320 is about 511.8252170333.

The spelling of 134080320 in words is "one hundred thirty-four million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 12697 25394 38091 50788 63485 76182 101576 126970 139667 152364 190455 203152 253940 279334 304728 380910 406304 419001 507880 558668 609456 698335 761820 812608 838002 1015760 1117336 1218912 1396670 1523640 1676004 2031520 2095005 2234672 2437824 2793340 3047280 3352008 4063040 4190010 4469344 5586680 6094560 6704016 8380020 8938688 11173360 12189120 13408032 16760040 22346720 26816064 33520080 44693440 67040160 134080320