Search a number
-
+
640872078 = 237211533739
BaseRepresentation
bin100110001100101…
…110111010001110
31122122220200012220
4212030232322032
52303030401303
6143332040210
721611215500
oct4614567216
91578820186
10640872078
112a9834750
1215a763066
13a2a09362
1461185d70
153b3e3053
hex2632ee8e

640872078 has 96 divisors (see below), whose sum is σ = 1657687680. Its totient is φ = 163275840.

The previous prime is 640872053. The next prime is 640872091. The reversal of 640872078 is 870278046.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169533 + ... + 173271.

It is an arithmetic number, because the mean of its divisors is an integer number (17267580).

Almost surely, 2640872078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640872078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828843840).

640872078 is an abundant number, since it is smaller than the sum of its proper divisors (1016815602).

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

640872078 is a wasteful number, since it uses less digits than its factorization.

640872078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 640872078 is about 25315.4513686800. The cubic root of 640872078 is about 862.1651223378.

The spelling of 640872078 in words is "six hundred forty million, eight hundred seventy-two thousand, seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 98 106 147 154 159 231 294 318 371 462 539 583 742 1078 1113 1166 1617 1749 2226 2597 3234 3498 3739 4081 5194 7478 7791 8162 11217 12243 15582 22434 24486 26173 28567 41129 52346 57134 78519 82258 85701 123387 157038 171402 183211 198167 246774 287903 366422 396334 549633 575806 594501 863709 1099266 1189002 1387169 1727418 2015321 2179837 2774338 4030642 4161507 4359674 6045963 6539511 8323014 9710183 12091926 13079022 15258859 19420366 29130549 30517718 45776577 58261098 91553154 106812013 213624026 320436039 640872078