Search a number
-
+
134674680 = 23357179431
BaseRepresentation
bin10000000011011…
…11100011111000
3100101102011221010
420001233203320
5233434042210
621210313520
73223500360
oct1001574370
9311364833
10134674680
116a025098
12391288a0
1321b9447a
1413c599a0
15bc53920
hex806f8f8

134674680 has 128 divisors (see below), whose sum is σ = 488954880. Its totient is φ = 28968960.

The previous prime is 134674651. The next prime is 134674733. The reversal of 134674680 is 86476431.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9565 + ... + 18995.

It is an arithmetic number, because the mean of its divisors is an integer number (3819960).

Almost surely, 2134674680 is an apocalyptic number.

134674680 is a gapful number since it is divisible by the number (10) 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 134674680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244477440).

134674680 is an abundant number, since it is smaller than the sum of its proper divisors (354280200).

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

134674680 is a wasteful number, since it uses less digits than its factorization.

134674680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 134674680 is about 11604.9420506955. The cubic root of 134674680 is about 512.5803863595.

The spelling of 134674680 in words is "one hundred thirty-four million, six hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 9431 14280 18862 28293 37724 47155 56586 66017 75448 94310 113172 132034 141465 160327 188620 198051 226344 264068 282930 320654 330085 377240 396102 480981 528136 565860 641308 660170 792204 801635 961962 990255 1122289 1131720 1282616 1320340 1584408 1603270 1923924 1980510 2244578 2404905 2640680 3206540 3366867 3847848 3961020 4489156 4809810 5611445 6413080 6733734 7922040 8978312 9619620 11222890 13467468 16834335 19239240 22445780 26934936 33668670 44891560 67337340 134674680