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130503420 = 22335383631
BaseRepresentation
bin1111100011101…
…01001011111100
3100002120021001000
413301311023330
5231402102140
620541050300
73143155305
oct761651374
9302507030
10130503420
1167736173
1237856990
1321063978
14134917ac
15b6cca30
hex7c752fc

130503420 has 96 divisors (see below), whose sum is σ = 407715840. Its totient is φ = 34655040.

The previous prime is 130503383. The next prime is 130503421. The reversal of 130503420 is 24305031.

It is a super-2 number, since 2×1305034202 = 34062285263392800, which contains 22 as substring.

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 = 130503393 and 130503402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130503421) by changing a digit.

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, 206505 + ... + 207135.

It is an arithmetic number, because the mean of its divisors is an integer number (4247040).

Almost surely, 2130503420 is an apocalyptic number.

130503420 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 130503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203857920).

130503420 is an abundant number, since it is smaller than the sum of its proper divisors (277212420).

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

130503420 is a wasteful number, since it uses less digits than its factorization.

130503420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130503420 is about 11423.8093471486. The cubic root of 130503420 is about 507.2327631199.

Adding to 130503420 its reverse (24305031), we get a palindrome (154808451).

The spelling of 130503420 in words is "one hundred thirty million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 383 540 631 766 1149 1262 1532 1893 1915 2298 2524 3155 3447 3786 3830 4596 5679 5745 6310 6894 7572 7660 9465 10341 11358 11490 12620 13788 17037 17235 18930 20682 22716 22980 28395 34074 34470 37860 41364 51705 56790 68148 68940 85185 103410 113580 170370 206820 241673 340740 483346 725019 966692 1208365 1450038 2175057 2416730 2900076 3625095 4350114 4833460 6525171 7250190 8700228 10875285 13050342 14500380 21750570 26100684 32625855 43501140 65251710 130503420