Search a number
-
+
640185168 = 24374614133
BaseRepresentation
bin100110001010000…
…111001101010000
31122121121202221210
4212022013031100
52302341411133
6143305220120
721602325030
oct4612071520
91577552853
10640185168
112a9405657
1215a491640
13a28287bc
14610478c0
153b309763
hex26287350

640185168 has 80 divisors (see below), whose sum is σ = 1894628736. Its totient is φ = 182469120.

The previous prime is 640185157. The next prime is 640185181. The reversal of 640185168 is 861581046.

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, 152830 + ... + 156962.

Almost surely, 2640185168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640185168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947314368).

640185168 is an abundant number, since it is smaller than the sum of its proper divisors (1254443568).

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

640185168 is a wasteful number, since it uses less digits than its factorization.

640185168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 640185168 is about 25301.8807206105. The cubic root of 640185168 is about 861.8569789076.

The spelling of 640185168 in words is "six hundred forty million, one hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 461 922 1383 1844 2766 3227 3688 4133 5532 6454 7376 8266 9681 11064 12399 12908 16532 19362 22128 24798 25816 28931 33064 38724 49596 51632 57862 66128 77448 86793 99192 115724 154896 173586 198384 231448 347172 462896 694344 1388688 1905313 3810626 5715939 7621252 11431878 13337191 15242504 22863756 26674382 30485008 40011573 45727512 53348764 80023146 91455024 106697528 160046292 213395056 320092584 640185168