Search a number
-
+
134053504 = 271326197
BaseRepresentation
bin1111111110101…
…11111010000000
3100100020121211121
413333113322000
5233304203004
621145122024
73215302354
oct777277200
9310217747
10134053504
1169740422
1238a89314
1321a07800
1413b37464
15bb7e854
hex7fd7e80

134053504 has 48 divisors (see below), whose sum is σ = 289229670. Its totient is φ = 61860864.

The previous prime is 134053471. The next prime is 134053511. The reversal of 134053504 is 405350431.

It can be written as a sum of positive squares in 3 ways, for example, as 60093504 + 73960000 = 7752^2 + 8600^2 .

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 5 ways as a sum of consecutive naturals, for example, 18534 + ... + 24730.

Almost surely, 2134053504 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 134053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144614835).

134053504 is an abundant number, since it is smaller than the sum of its proper divisors (155176166).

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

134053504 is an equidigital number, since it uses as much as digits as its factorization.

134053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 134053504 is about 11578.1476929602. The cubic root of 134053504 is about 511.7910931586.

The spelling of 134053504 in words is "one hundred thirty-four million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 6197 10816 12394 21632 24788 49576 80561 99152 161122 198304 322244 396608 644488 793216 1047293 1288976 2094586 2577952 4189172 5155904 8378344 10311808 16756688 33513376 67026752 134053504