Search a number
-
+
134998992 = 24327911867
BaseRepresentation
bin10000000101111…
…10101111010000
3100102000122210200
420002332233100
5234024431432
621221255200
73226321032
oct1002765720
9312018720
10134998992
116a226817
1239264500
1321c78c7b
1413d01c52
15bcb9a7c
hex80bebd0

134998992 has 60 divisors (see below), whose sum is σ = 382624320. Its totient is φ = 44426304.

The previous prime is 134998979. The next prime is 134998999. The reversal of 134998992 is 299899431.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134998999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5443 + ... + 17309.

It is an arithmetic number, because the mean of its divisors is an integer number (6377072).

Almost surely, 2134998992 is an apocalyptic number.

134998992 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 134998992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191312160).

134998992 is an abundant number, since it is smaller than the sum of its proper divisors (247625328).

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

134998992 is a wasteful number, since it uses less digits than its factorization.

134998992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 11951 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 134998992 is about 11618.9066611278. The cubic root of 134998992 is about 512.9915072178.

The spelling of 134998992 in words is "one hundred thirty-four million, nine hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 11867 23734 35601 47468 71202 94936 106803 142404 189872 213606 284808 427212 569616 854424 937493 1708848 1874986 2812479 3749972 5624958 7499944 8437437 11249916 14999888 16874874 22499832 33749748 44999664 67499496 134998992