Search a number
-
+
6470540440 = 2357131993559
BaseRepresentation
bin1100000011010110…
…01001110010011000
3121200221110111210221
412001223021302120
5101222424243230
62550022045424
7316226454250
oct60153116230
917627414727
106470540440
1128204a6891
121306b79874
137c1707b70
144554d6960
1527d0d227a
hex181ac9c98

6470540440 has 128 divisors (see below), whose sum is σ = 18861696000. Its totient is φ = 1940018688.

The previous prime is 6470540429. The next prime is 6470540467. The reversal of 6470540440 is 440450746.

It is a junction number, because it is equal to n+sod(n) for n = 6470540396 and 6470540405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22381 + ... + 115939.

It is an arithmetic number, because the mean of its divisors is an integer number (147357000).

Almost surely, 26470540440 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 6470540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430848000).

6470540440 is an abundant number, since it is smaller than the sum of its proper divisors (12391155560).

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

6470540440 is a wasteful number, since it uses less digits than its factorization.

6470540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93609 (or 93605 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 6470540440 is about 80439.6695667007. The cubic root of 6470540440 is about 1863.4318687983.

The spelling of 6470540440 in words is "six billion, four hundred seventy million, five hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 93559 187118 374236 467795 654913 748472 935590 1216267 1309826 1777621 1871180 2432534 2619652 3274565 3555242 3742360 4865068 5239304 6081335 6549130 7110484 8513869 8888105 9730136 12162670 12443347 13098260 14220968 17027738 17776210 23109073 24325340 24886694 26196520 34055476 35552420 42569345 46218146 48650680 49773388 62216735 68110952 71104840 85138690 92436292 99546776 115545365 124433470 161763511 170277380 184872584 231090730 248866940 323527022 340554760 462181460 497733880 647054044 808817555 924362920 1294108088 1617635110 3235270220 6470540440