Search a number
-
+
134963184 = 24326310691
BaseRepresentation
bin10000000101101…
…01111111110000
3100101221211200110
420002311333300
5234022310214
621220421320
73226111446
oct1002657760
9311854613
10134963184
116a201924
1239247840
1321c65895
1413cd2b96
15bcae159
hex80b5ff0

134963184 has 40 divisors (see below), whose sum is σ = 350013312. Its totient is φ = 44812480.

The previous prime is 134963177. The next prime is 134963189. The reversal of 134963184 is 481369431.

134963184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1349631842 = 36430122070835712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134963189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7279 + ... + 17969.

Almost surely, 2134963184 is an apocalyptic number.

It is an amenable number.

134963184 is an abundant number, since it is smaller than the sum of its proper divisors (215050128).

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

134963184 is a wasteful number, since it uses less digits than its factorization.

134963184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10959 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 134963184 is about 11617.3656222054. The cubic root of 134963184 is about 512.9461468192.

The spelling of 134963184 in words is "one hundred thirty-four million, nine hundred sixty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 263 526 789 1052 1578 2104 3156 4208 6312 10691 12624 21382 32073 42764 64146 85528 128292 171056 256584 513168 2811733 5623466 8435199 11246932 16870398 22493864 33740796 44987728 67481592 134963184