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1484914140 = 223353897069
BaseRepresentation
bin101100010000001…
…1111110111011100
310211111010110021000
41120200133313130
511020114223030
6403202510300
751540363513
oct13040376734
93744113230
101484914140
116a2216a76
12355365390
131a883c828
141012d767a
158a569860
hex5881fddc

1484914140 has 96 divisors (see below), whose sum is σ = 4632264000. Its totient is φ = 394903296.

The previous prime is 1484914127. The next prime is 1484914153. The reversal of 1484914140 is 414194841.

It is an interprime number because it is at equal distance from previous prime (1484914127) and next prime (1484914153).

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

It is a junction number, because it is equal to n+sod(n) for n = 1484914095 and 1484914104.

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 31 ways as a sum of consecutive naturals, for example, 206526 + ... + 213594.

It is an arithmetic number, because the mean of its divisors is an integer number (48252750).

Almost surely, 21484914140 is an apocalyptic number.

1484914140 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 1484914140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316132000).

1484914140 is an abundant number, since it is smaller than the sum of its proper divisors (3147349860).

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

1484914140 is a wasteful number, since it uses less digits than its factorization.

1484914140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1484914140 is about 38534.5836879030. The cubic root of 1484914140 is about 1140.8637498250.

The spelling of 1484914140 in words is "one billion, four hundred eighty-four million, nine hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 389 540 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7069 7780 10503 11670 14004 14138 17505 21006 21207 23340 28276 35010 35345 42012 42414 52515 63621 70020 70690 84828 105030 106035 127242 141380 190863 210060 212070 254484 318105 381726 424140 636210 763452 954315 1272420 1908630 2749841 3817260 5499682 8249523 10999364 13749205 16499046 24748569 27498410 32998092 41247615 49497138 54996820 74245707 82495230 98994276 123742845 148491414 164990460 247485690 296982828 371228535 494971380 742457070 1484914140