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134035424 = 2519892477
BaseRepresentation
bin1111111110100…
…11011111100000
3100100012201000222
413333103133200
5233303113144
621144502212
73215165555
oct777233740
9310181028
10134035424
1169728886
1238a7a968
13219cc503
1413b30a2c
15bb792ee
hex7fd37e0

134035424 has 48 divisors (see below), whose sum is σ = 281005200. Its totient is φ = 62751744.

The previous prime is 134035417. The next prime is 134035427. The reversal of 134035424 is 424530431.

It is a junction number, because it is equal to n+sod(n) for n = 134035393 and 134035402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134035427) 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, 52874 + ... + 55350.

It is an arithmetic number, because the mean of its divisors is an integer number (5854275).

Almost surely, 2134035424 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 134035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140502600).

134035424 is an abundant number, since it is smaller than the sum of its proper divisors (146969776).

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

134035424 is a wasteful number, since it uses less digits than its factorization.

134035424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 134035424 is about 11577.3668854364. The cubic root of 134035424 is about 511.7680834430.

Adding to 134035424 its reverse (424530431), we get a palindrome (558565855).

The spelling of 134035424 in words is "one hundred thirty-four million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 89 152 178 304 356 608 712 1424 1691 2477 2848 3382 4954 6764 9908 13528 19816 27056 39632 47063 54112 79264 94126 188252 220453 376504 440906 753008 881812 1506016 1763624 3527248 4188607 7054496 8377214 16754428 33508856 67017712 134035424