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130420620 = 2232511199331
BaseRepresentation
bin1111100011000…
…00111110001100
3100002102001110100
413301200332030
5231341424440
620535211100
73142362021
oct761407614
9302361410
10130420620
1167689a40
1237816a90
1321035085
141346d548
15b6b3230
hex7c60f8c

130420620 has 144 divisors (see below), whose sum is σ = 435052800. Its totient is φ = 31363200.

The previous prime is 130420607. The next prime is 130420637. The reversal of 130420620 is 26024031.

It is a happy number.

130420620 is a `hidden beast` number, since 1 + 3 + 0 + 42 + 0 + 620 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130420593 and 130420602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393855 + ... + 394185.

It is an arithmetic number, because the mean of its divisors is an integer number (3021200).

Almost surely, 2130420620 is an apocalyptic number.

130420620 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 130420620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217526400).

130420620 is an abundant number, since it is smaller than the sum of its proper divisors (304632180).

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

130420620 is a wasteful number, since it uses less digits than its factorization.

130420620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

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

The square root of 130420620 is about 11420.1847620781. The cubic root of 130420620 is about 507.1254664217.

Adding to 130420620 its reverse (26024031), we get a palindrome (156444651).

The spelling of 130420620 in words is "one hundred thirty million, four hundred twenty thousand, six 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 99 110 132 165 180 198 199 220 330 331 396 398 495 597 660 662 796 990 993 995 1194 1324 1655 1791 1980 1986 1990 2189 2388 2979 2985 3310 3582 3641 3972 3980 4378 4965 5958 5970 6567 6620 7164 7282 8756 8955 9930 10923 10945 11916 11940 13134 14564 14895 17910 18205 19701 19860 21846 21890 26268 29790 32769 32835 35820 36410 39402 43692 43780 54615 59580 65538 65670 65869 72820 78804 98505 109230 131076 131340 131738 163845 197010 197607 218460 263476 327690 329345 394020 395214 592821 655380 658690 724559 790428 988035 1185642 1317380 1449118 1976070 2173677 2371284 2898236 2964105 3622795 3952140 4347354 5928210 6521031 7245590 8694708 10868385 11856420 13042062 14491180 21736770 26084124 32605155 43473540 65210310 130420620