Search a number
-
+
134012416 = 29475569
BaseRepresentation
bin1111111110011…
…01111000000000
3100100011112110211
413333031320000
5233301344131
621144203504
73215041516
oct777157000
9310145424
10134012416
116971256a
1238a69594
13219c1bb5
1413b264b6
15bb725b1
hex7fcde00

134012416 has 40 divisors (see below), whose sum is σ = 273509280. Its totient is φ = 65568768.

The previous prime is 134012407. The next prime is 134012419. The reversal of 134012416 is 614210431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134012419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21280 + ... + 26848.

It is an arithmetic number, because the mean of its divisors is an integer number (6837732).

Almost surely, 2134012416 is an apocalyptic number.

134012416 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 134012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136754640).

134012416 is an abundant number, since it is smaller than the sum of its proper divisors (139496864).

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

134012416 is an frugal number, since it uses more digits than its factorization.

134012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 134012416 is about 11576.3731798867. The cubic root of 134012416 is about 511.7387990606.

Adding to 134012416 its reverse (614210431), we get a palindrome (748222847).

The spelling of 134012416 in words is "one hundred thirty-four million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1504 3008 5569 6016 11138 12032 22276 24064 44552 89104 178208 261743 356416 523486 712832 1046972 1425664 2093944 2851328 4187888 8375776 16751552 33503104 67006208 134012416