Search a number
-
+
1460460133080 = 2333513104021377
BaseRepresentation
bin10101010000001010001…
…101010001101011011000
312011121200222101210011000
4111100022031101223120
5142412010243224310
63034532013105000
7210341364206424
oct25201215215330
95147628353130
101460460133080
11513417742123
121b7069188160
13a794a79b050
1450988237b84
1527ecaea34c0
hex1540a351ad8

1460460133080 has 128 divisors (see below), whose sum is σ = 5242677451200. Its totient is φ = 359497875456.

The previous prime is 1460460133031. The next prime is 1460460133087. The reversal of 1460460133080 is 803310640641.

It is a happy number.

1460460133080 is a `hidden beast` number, since 1 + 4 + 60 + 460 + 133 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460460133087) 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 31 ways as a sum of consecutive naturals, for example, 51996649 + ... + 52024728.

Almost surely, 21460460133080 is an apocalyptic number.

1460460133080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1460460133080 is an abundant number, since it is smaller than the sum of its proper divisors (3782217318120).

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

1460460133080 is a wasteful number, since it uses less digits than its factorization.

1460460133080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104021410 (or 104021400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1460460133080 in words is "one trillion, four hundred sixty billion, four hundred sixty million, one hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 104021377 208042754 312064131 416085508 520106885 624128262 832171016 936192393 1040213770 1248256524 1352277901 1560320655 1872384786 2080427540 2496513048 2704555802 2808577179 3120641310 3744769572 4056833703 4160855080 4680961965 5409111604 5617154358 6241282620 6761389505 7489539144 8113667406 9361923930 10818223208 11234308716 12170501109 12482565240 13522779010 14042885895 16227334812 18723847860 20284168515 22468617432 24341002218 27045558020 28085771790 32454669624 36511503327 37447695720 40568337030 48682004436 54091116040 56171543580 60852505545 73023006654 81136674060 97364008872 112343087160 121705011090 146046013308 162273348120 182557516635 243410022180 292092026616 365115033270 486820044360 730230066540 1460460133080