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1428485310 = 2325710721191
BaseRepresentation
bin101010100100100…
…1111010010111110
310200112221120110100
41111021033102332
510411143012220
6353425221530
750253632130
oct12511172276
93615846410
101428485310
1167338517a
1233a4918a6
13199c431a5
14d7a09050
158561ed90
hex5524f4be

1428485310 has 96 divisors (see below), whose sum is σ = 4284513792. Its totient is φ = 323444160.

The previous prime is 1428485297. The next prime is 1428485339. The reversal of 1428485310 is 135848241.

1428485310 is a `hidden beast` number, since 1 + 42 + 84 + 8 + 531 + 0 = 666.

It is a super-2 number, since 2×14284853102 = 4081140561771592200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 56815 + ... + 78005.

It is an arithmetic number, because the mean of its divisors is an integer number (44630352).

Almost surely, 21428485310 is an apocalyptic number.

1428485310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428485310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142256896).

1428485310 is an abundant number, since it is smaller than the sum of its proper divisors (2856028482).

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

1428485310 is a wasteful number, since it uses less digits than its factorization.

1428485310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318 (or 21315 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1428485310 is about 37795.3080421367. The cubic root of 1428485310 is about 1126.2252487885.

The spelling of 1428485310 in words is "one billion, four hundred twenty-eight million, four hundred eighty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 107 126 210 214 315 321 535 630 642 749 963 1070 1498 1605 1926 2247 3210 3745 4494 4815 6741 7490 9630 11235 13482 21191 22470 33705 42382 63573 67410 105955 127146 148337 190719 211910 296674 317865 381438 445011 635730 741685 890022 953595 1335033 1483370 1907190 2225055 2267437 2670066 4450110 4534874 6675165 6802311 11337185 13350330 13604622 15872059 20406933 22674370 31744118 34011555 40813866 47616177 68023110 79360295 95232354 102034665 142848531 158720590 204069330 238080885 285697062 476161770 714242655 1428485310