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1403314220 = 2257113312753
BaseRepresentation
bin101001110100100…
…1110000000101100
310121210120202012202
41103221032000230
510333222023340
6351125521032
746526655050
oct12351160054
93553522182
101403314220
11660152820
12331b73178
1319496c159
14d4535c60
15832ebc15
hex53a4e02c

1403314220 has 96 divisors (see below), whose sum is σ = 3686570496. Its totient is φ = 435916800.

The previous prime is 1403314201. The next prime is 1403314223. The reversal of 1403314220 is 224133041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1403314192 and 1403314201.

It is not an unprimeable number, because it can be changed into a prime (1403314223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508364 + ... + 511116.

It is an arithmetic number, because the mean of its divisors is an integer number (38401776).

Almost surely, 21403314220 is an apocalyptic number.

1403314220 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 1403314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843285248).

1403314220 is an abundant number, since it is smaller than the sum of its proper divisors (2283256276).

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

1403314220 is a wasteful number, since it uses less digits than its factorization.

1403314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1403314220 is about 37460.8358155554. The cubic root of 1403314220 is about 1119.5710038564.

Adding to 1403314220 its reverse (224133041), we get a palindrome (1627447261).

The spelling of 1403314220 in words is "one billion, four hundred three million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 331 385 662 770 1324 1540 1655 2317 2753 3310 3641 4634 5506 6620 7282 9268 11012 11585 13765 14564 18205 19271 23170 25487 27530 30283 36410 38542 46340 50974 55060 60566 72820 77084 96355 101948 121132 127435 151415 192710 211981 254870 302830 385420 423962 509740 605660 847924 911243 1059905 1822486 2119810 3644972 4239620 4556215 6378701 9112430 10023673 12757402 18224860 20047346 25514804 31893505 40094692 50118365 63787010 70165711 100236730 127574020 140331422 200473460 280662844 350828555 701657110 1403314220