Search a number
-
+
1305454020 = 2235132314153
BaseRepresentation
bin100110111001111…
…1010010111000100
310100222102221020220
41031303322113010
510133144012040
6333312224340
744231114253
oct11563722704
93328387226
101305454020
1160a992a22
1230523b0b0
1317a5c7600
14c554079a
157991b2d0
hex4dcfa5c4

1305454020 has 144 divisors (see below), whose sum is σ = 4086738432. Its totient is φ = 310901760.

The previous prime is 1305454019. The next prime is 1305454027. The reversal of 1305454020 is 204545031.

It is not an unprimeable number, because it can be changed into a prime (1305454027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312264 + ... + 316416.

It is an arithmetic number, because the mean of its divisors is an integer number (28380128).

Almost surely, 21305454020 is an apocalyptic number.

1305454020 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 1305454020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043369216).

1305454020 is an abundant number, since it is smaller than the sum of its proper divisors (2781284412).

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

1305454020 is a wasteful number, since it uses less digits than its factorization.

1305454020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1305454020 is about 36131.0672413645. The cubic root of 1305454020 is about 1092.9170301425.

Adding to 1305454020 its reverse (204545031), we get a palindrome (1509999051).

The spelling of 1305454020 in words is "one billion, three hundred five million, four hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 338 372 390 403 465 507 620 676 780 806 845 930 1014 1209 1612 1690 1860 2015 2028 2418 2535 3380 4030 4153 4836 5070 5239 6045 8060 8306 10140 10478 12090 12459 15717 16612 20765 20956 24180 24918 26195 31434 41530 49836 52390 53989 62295 62868 78585 83060 104780 107978 124590 128743 157170 161967 215956 249180 257486 269945 314340 323934 386229 514972 539890 643715 647868 701857 772458 809835 1079780 1287430 1403714 1544916 1619670 1673659 1931145 2105571 2574860 2807428 3239340 3347318 3509285 3862290 4211142 5020977 6694636 7018570 7724580 8368295 8422284 10041954 10527855 14037140 16736590 20083908 21055710 21757567 25104885 33473180 42111420 43515134 50209770 65272701 87030268 100419540 108787835 130545402 217575670 261090804 326363505 435151340 652727010 1305454020