Search a number
-
+
134839296 = 210334877
BaseRepresentation
bin10000000100101…
…11110000000000
3100101201112202000
420002113300000
5234004324141
621214024000
73225054324
oct1002276000
9311645660
10134839296
116a127839
12391a8000
1321c21387
1413c9d984
15bc875b6
hex8097c00

134839296 has 88 divisors (see below), whose sum is σ = 399410640. Its totient is φ = 44937216.

The previous prime is 134839277. The next prime is 134839301. The reversal of 134839296 is 692938431.

It is a happy number.

It is a super-5 number, since 5×1348392965 (a number of 42 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25210 + ... + 30086.

Almost surely, 2134839296 is an apocalyptic number.

134839296 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 134839296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199705320).

134839296 is an abundant number, since it is smaller than the sum of its proper divisors (264571344).

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

134839296 is an equidigital number, since it uses as much as digits as its factorization.

134839296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4882 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 134839296 is about 11612.0323802511. The cubic root of 134839296 is about 512.7891476420.

The spelling of 134839296 in words is "one hundred thirty-four million, eight hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 4877 6912 9216 9754 13824 14631 19508 27648 29262 39016 43893 58524 78032 87786 117048 131679 156064 175572 234096 263358 312128 351144 468192 526716 624256 702288 936384 1053432 1248512 1404576 1872768 2106864 2497024 2809152 3745536 4213728 4994048 5618304 7491072 8427456 11236608 14982144 16854912 22473216 33709824 44946432 67419648 134839296