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1351731420 = 22325132392417
BaseRepresentation
bin101000010010001…
…1100100011011100
310111012112001220200
41100210130203130
510232020401140
6342044143500
745332345634
oct12044344334
93435461820
101351731420
11634020906
12318837b90
1318707b4a0
14cb7496c4
157da0d030
hex5091c8dc

1351731420 has 144 divisors (see below), whose sum is σ = 4435966080. Its totient is φ = 331204608.

The previous prime is 1351731401. The next prime is 1351731431. The reversal of 1351731420 is 241371531.

1351731420 is a `hidden beast` number, since 1 + 3 + 517 + 3 + 142 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 558052 + ... + 560468.

It is an arithmetic number, because the mean of its divisors is an integer number (30805320).

Almost surely, 21351731420 is an apocalyptic number.

1351731420 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 1351731420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217983040).

1351731420 is an abundant number, since it is smaller than the sum of its proper divisors (3084234660).

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

1351731420 is a wasteful number, since it uses less digits than its factorization.

1351731420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1351731420 is about 36765.9002337764. The cubic root of 1351731420 is about 1105.6817370613.

The spelling of 1351731420 in words is "one billion, three hundred fifty-one million, seven hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 239 260 390 468 478 585 717 780 956 1170 1195 1434 2151 2340 2390 2417 2868 3107 3585 4302 4780 4834 6214 7170 7251 8604 9321 9668 10755 12085 12428 14340 14502 15535 18642 21510 21753 24170 27963 29004 31070 31421 36255 37284 43020 43506 46605 48340 55926 62140 62842 72510 87012 93210 94263 108765 111852 125684 139815 145020 157105 186420 188526 217530 279630 282789 314210 377052 435060 471315 559260 565578 577663 628420 942630 1131156 1155326 1413945 1732989 1885260 2310652 2827890 2888315 3465978 5198967 5655780 5776630 6931956 7509619 8664945 10397934 11553260 15019238 17329890 20795868 22528857 25994835 30038476 34659780 37548095 45057714 51989670 67586571 75096190 90115428 103979340 112644285 135173142 150192380 225288570 270346284 337932855 450577140 675865710 1351731420