Search a number
-
+
134470656 = 2103214591
BaseRepresentation
bin10000000001111…
…01110000000000
3100101000211001200
420000331300000
5233411030111
621202101200
73221660505
oct1000756000
9311024050
10134470656
11699a5881
123904a800
1321b22648
1413c054ac
15bc13256
hex803dc00

134470656 has 66 divisors (see below), whose sum is σ = 388307712. Its totient is φ = 44820480.

The previous prime is 134470643. The next prime is 134470667. The reversal of 134470656 is 656074431.

It is a happy number.

134470656 is a `hidden beast` number, since 134 + 470 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134470656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1921 + ... + 16511.

Almost surely, 2134470656 is an apocalyptic number.

134470656 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 134470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153856).

134470656 is an abundant number, since it is smaller than the sum of its proper divisors (253837056).

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

134470656 is a wasteful number, since it uses less digits than its factorization.

134470656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14617 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 134470656 is about 11596.1483260607. The cubic root of 134470656 is about 512.3214127713.

The spelling of 134470656 in words is "one hundred thirty-four million, four hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14591 29182 43773 58364 87546 116728 131319 175092 233456 262638 350184 466912 525276 700368 933824 1050552 1400736 1867648 2101104 2801472 3735296 4202208 5602944 7470592 8404416 11205888 14941184 16808832 22411776 33617664 44823552 67235328 134470656