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134319680 = 2651123469
BaseRepresentation
bin10000000000110…
…00111001000000
3100100202010221222
420000120321000
5233341212210
621154534212
73220461365
oct1000307100
9310663858
10134319680
1169902400
1238b97368
1321a9ba01
1413ba646c
15bbd3655
hex8018e40

134319680 has 84 divisors (see below), whose sum is σ = 351670620. Its totient is φ = 48829440.

The previous prime is 134319667. The next prime is 134319707. The reversal of 134319680 is 86913431.

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 113379904 = 4576^2 + 10648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134319680.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36986 + ... + 40454.

It is an arithmetic number, because the mean of its divisors is an integer number (4186555).

Almost surely, 2134319680 is an apocalyptic number.

134319680 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 134319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175835310).

134319680 is an abundant number, since it is smaller than the sum of its proper divisors (217350940).

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

134319680 is a wasteful number, since it uses less digits than its factorization.

134319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 134319680 is about 11589.6367501316. The cubic root of 134319680 is about 512.1296058611.

The spelling of 134319680 in words is "one hundred thirty-four million, three hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3469 3520 3872 4840 6938 7744 9680 13876 17345 19360 27752 34690 38159 38720 55504 69380 76318 111008 138760 152636 190795 222016 277520 305272 381590 419749 555040 610544 763180 839498 1110080 1221088 1526360 1678996 2098745 2442176 3052720 3357992 4197490 6105440 6715984 8394980 12210880 13431968 16789960 26863936 33579920 67159840 134319680