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1728714420 = 2233527111813
BaseRepresentation
bin110011100001010…
…0001011010110100
311110110212210101000
41213002201122310
512020022330140
6443312203300
760560554506
oct14702413264
94413783330
101728714420
118078a5804
12402b39530
132171c1354
1412583bd76
15a1b76a30
hex670a16b4

1728714420 has 96 divisors (see below), whose sum is σ = 5398525440. Its totient is φ = 459250560.

The previous prime is 1728714401. The next prime is 1728714433. The reversal of 1728714420 is 244178271.

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

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, 140434 + ... + 152246.

It is an arithmetic number, because the mean of its divisors is an integer number (56234640).

Almost surely, 21728714420 is an apocalyptic number.

1728714420 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 1728714420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699262720).

1728714420 is an abundant number, since it is smaller than the sum of its proper divisors (3669811020).

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

1728714420 is a wasteful number, since it uses less digits than its factorization.

1728714420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1728714420 is about 41577.8116307244. The cubic root of 1728714420 is about 1200.1653522145.

The spelling of 1728714420 in words is "one billion, seven hundred twenty-eight million, seven hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 271 540 542 813 1084 1355 1626 2439 2710 3252 4065 4878 5420 7317 8130 9756 11813 12195 14634 16260 23626 24390 29268 35439 36585 47252 48780 59065 70878 73170 106317 118130 141756 146340 177195 212634 236260 318951 354390 425268 531585 637902 708780 1063170 1275804 1594755 2126340 3189510 3201323 6379020 6402646 9603969 12805292 16006615 19207938 28811907 32013230 38415876 48019845 57623814 64026460 86435721 96039690 115247628 144059535 172871442 192079380 288119070 345742884 432178605 576238140 864357210 1728714420