Search a number
-
+
134339712 = 27313171583
BaseRepresentation
bin10000000000111…
…01110010000000
3100100210011102220
420000131302000
5233342332322
621155211040
73220603653
oct1000356200
9310704386
10134339712
1169916461
1238ba6a80
1321aa7b70
1413bad89a
15bbd955c
hex801dc80

134339712 has 128 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 38879232.

The previous prime is 134339701. The next prime is 134339743. The reversal of 134339712 is 217933431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84073 + ... + 85655.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2134339712 is an apocalyptic number.

134339712 is a gapful number since it is divisible by the number (12) 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 134339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

134339712 is an abundant number, since it is smaller than the sum of its proper divisors (272811648).

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

134339712 is a wasteful number, since it uses less digits than its factorization.

134339712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1618 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 134339712 is about 11590.5009382684. The cubic root of 134339712 is about 512.1550637099.

The spelling of 134339712 in words is "one hundred thirty-four million, three hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1583 1632 1664 1768 2176 2496 2652 3166 3264 3536 4749 4992 5304 6332 6528 7072 9498 10608 12664 14144 18996 20579 21216 25328 26911 28288 37992 41158 42432 50656 53822 61737 75984 80733 82316 84864 101312 107644 123474 151968 161466 164632 202624 215288 246948 303936 322932 329264 349843 430576 493896 607872 645864 658528 699686 861152 987792 1049529 1291728 1317056 1399372 1722304 1975584 2099058 2583456 2634112 2798744 3444608 3951168 4198116 5166912 5597488 7902336 8396232 10333824 11194976 16792464 22389952 33584928 44779904 67169856 134339712