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1431300420 = 2232511797907
BaseRepresentation
bin101010101001111…
…1110100101000100
310200202020121001200
41111103332211010
510412403103140
6354005422500
750316565344
oct12523764504
93622217050
101431300420
11674a28210
1233b40aa30
1319a6ba634
14d813cd24
15859c9030
hex554fe944

1431300420 has 144 divisors (see below), whose sum is σ = 4747474368. Its totient is φ = 346164480.

The previous prime is 1431300413. The next prime is 1431300421. The reversal of 1431300420 is 240031341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1431300393 and 1431300402.

It is not an unprimeable number, because it can be changed into a prime (1431300421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577607 + ... + 1578513.

It is an arithmetic number, because the mean of its divisors is an integer number (32968572).

Almost surely, 21431300420 is an apocalyptic number.

1431300420 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 1431300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373737184).

1431300420 is an abundant number, since it is smaller than the sum of its proper divisors (3316173948).

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

1431300420 is a wasteful number, since it uses less digits than its factorization.

1431300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1431300420 is about 37832.5312396620. The cubic root of 1431300420 is about 1126.9645791249.

Adding to 1431300420 its reverse (240031341), we get a palindrome (1671331761).

The spelling of 1431300420 in words is "one billion, four hundred thirty-one million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 797 907 990 1594 1814 1980 2391 2721 3188 3628 3985 4535 4782 5442 7173 7970 8163 8767 9070 9564 9977 10884 11955 13605 14346 15940 16326 17534 18140 19954 23910 26301 27210 28692 29931 32652 35068 35865 39908 40815 43835 47820 49885 52602 54420 59862 71730 78903 81630 87670 89793 99770 105204 119724 131505 143460 149655 157806 163260 175340 179586 199540 263010 299310 315612 359172 394515 448965 526020 598620 722879 789030 897930 1445758 1578060 1795860 2168637 2891516 3614395 4337274 6505911 7228790 7951669 8674548 10843185 13011822 14457580 15903338 21686370 23855007 26023644 31806676 32529555 39758345 43372740 47710014 65059110 71565021 79516690 95420028 119275035 130118220 143130042 159033380 238550070 286260084 357825105 477100140 715650210 1431300420