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134530416 = 24331092857
BaseRepresentation
bin10000000010011…
…00010101110000
3100101010212001000
420001030111300
5233414433131
621203242000
73222326646
oct1001142560
9311125030
10134530416
1169a36769
1239079300
1321b438c7
1413c1d196
15bc25ce6
hex804c570

134530416 has 80 divisors (see below), whose sum is σ = 389831200. Its totient is φ = 44416512.

The previous prime is 134530411. The next prime is 134530423. The reversal of 134530416 is 614035431.

134530416 is a `hidden beast` number, since 1 + 345 + 304 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 134530416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134530411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45660 + ... + 48516.

It is an arithmetic number, because the mean of its divisors is an integer number (4872890).

Almost surely, 2134530416 is an apocalyptic number.

134530416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194915600).

134530416 is an abundant number, since it is smaller than the sum of its proper divisors (255300784).

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

134530416 is a wasteful number, since it uses less digits than its factorization.

134530416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 134530416 is about 11598.7247574895. The cubic root of 134530416 is about 512.3972949854.

Adding to 134530416 its reverse (614035431), we get a palindrome (748565847).

The spelling of 134530416 in words is "one hundred thirty-four million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2857 2943 3924 5232 5714 5886 7848 8571 11428 11772 15696 17142 22856 23544 25713 34284 45712 47088 51426 68568 77139 102852 137136 154278 205704 308556 311413 411408 617112 622826 934239 1234224 1245652 1868478 2491304 2802717 3736956 4982608 5605434 7473912 8408151 11210868 14947824 16816302 22421736 33632604 44843472 67265208 134530416