Search a number
-
+
134703104 = 211175373
BaseRepresentation
bin10000000011101…
…10100000000000
3100101110121220212
420001312200000
5233440444404
621211053252
73223646264
oct1001664000
9311417825
10134703104
116a044488
1239141228
1321ba43a3
1413c660a4
15bc5c06e
hex8076800

134703104 has 96 divisors (see below), whose sum is σ = 294545160. Its totient is φ = 61341696.

The previous prime is 134703089. The next prime is 134703109. The reversal of 134703104 is 401307431.

It can be written as a sum of positive squares in 4 ways, for example, as 133448704 + 1254400 = 11552^2 + 1120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134703104.

It is not an unprimeable number, because it can be changed into a prime (134703109) 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, 1845212 + ... + 1845284.

Almost surely, 2134703104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147272580).

134703104 is an abundant number, since it is smaller than the sum of its proper divisors (159842056).

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

134703104 is an equidigital number, since it uses as much as digits as its factorization.

134703104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 134703104 is about 11606.1666367496. The cubic root of 134703104 is about 512.6164450060.

The spelling of 134703104 in words is "one hundred thirty-four million, seven hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 73 106 128 136 146 212 256 272 292 424 512 544 584 848 901 1024 1088 1168 1241 1696 1802 2048 2176 2336 2482 3392 3604 3869 4352 4672 4964 6784 7208 7738 8704 9344 9928 13568 14416 15476 17408 18688 19856 27136 28832 30952 34816 37376 39712 54272 57664 61904 65773 74752 79424 108544 115328 123808 131546 149504 158848 230656 247616 263092 317696 461312 495232 526184 635392 922624 990464 1052368 1270784 1845248 1980928 2104736 2541568 3961856 4209472 7923712 8418944 16837888 33675776 67351552 134703104