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134811424 = 2511237941
BaseRepresentation
bin10000000100100…
…00111100100000
3100101200010111201
420002100330200
5234002431144
621213250544
73224610136
oct1002207440
9311603451
10134811424
116a108900
1239193a54
1321c11797
1413c93756
15bc7e1d4
hex8090f20

134811424 has 72 divisors (see below), whose sum is σ = 299934684. Its totient is φ = 59558400.

The previous prime is 134811421. The next prime is 134811431. The reversal of 134811424 is 424118431.

It can be written as a sum of positive squares in 2 ways, for example, as 123921424 + 10890000 = 11132^2 + 3300^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 134811392 and 134811401.

It is not an unprimeable number, because it can be changed into a prime (134811421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142794 + ... + 143734.

Almost surely, 2134811424 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 134811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149967342).

134811424 is an abundant number, since it is smaller than the sum of its proper divisors (165123260).

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

134811424 is a wasteful number, since it uses less digits than its factorization.

134811424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 991 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 134811424 is about 11610.8321837842. The cubic root of 134811424 is about 512.7538131255.

Adding to 134811424 its reverse (424118431), we get a palindrome (558929855).

The spelling of 134811424 in words is "one hundred thirty-four million, eight hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 176 242 296 352 407 484 592 814 941 968 1184 1628 1882 1936 3256 3764 3872 4477 6512 7528 8954 10351 13024 15056 17908 20702 30112 34817 35816 41404 69634 71632 82808 113861 139268 143264 165616 227722 278536 331232 382987 455444 557072 765974 910888 1114144 1531948 1821776 3063896 3643552 4212857 6127792 8425714 12255584 16851428 33702856 67405712 134811424