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134320640 = 29571739
BaseRepresentation
bin10000000000110…
…01001000000000
3100100202012021112
420000121020000
5233341230030
621154542452
73220464236
oct1000311000
9310665245
10134320640
11699030a3
1238b97a28
1321a9c28c
1413ba6956
15bbd3a95
hex8019200

134320640 has 80 divisors (see below), whose sum is σ = 327032640. Its totient is φ = 52899840.

The previous prime is 134320579. The next prime is 134320649. The reversal of 134320640 is 46023431.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (134320649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181391 + ... + 182129.

It is an arithmetic number, because the mean of its divisors is an integer number (4087908).

Almost surely, 2134320640 is an apocalyptic number.

134320640 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 134320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163516320).

134320640 is an abundant number, since it is smaller than the sum of its proper divisors (192712000).

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

134320640 is an frugal number, since it uses more digits than its factorization.

134320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 134320640 is about 11589.6781663686. The cubic root of 134320640 is about 512.1308259436.

The spelling of 134320640 in words is "one hundred thirty-four million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 739 1136 1280 1420 1478 2272 2560 2840 2956 3695 4544 5680 5912 7390 9088 11360 11824 14780 18176 22720 23648 29560 36352 45440 47296 52469 59120 90880 94592 104938 118240 181760 189184 209876 236480 262345 378368 419752 472960 524690 839504 945920 1049380 1679008 1891840 2098760 3358016 4197520 6716032 8395040 13432064 16790080 26864128 33580160 67160320 134320640