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130502016 = 273441307
BaseRepresentation
bin1111100011101…
…00110110000000
3100002120012010000
413301310312000
5231402031031
620541040000
73143151231
oct761646600
9302505100
10130502016
1167735107
1237856000
1321063138
1413491088
15b6cc3e6
hex7c74d80

130502016 has 160 divisors (see below), whose sum is σ = 399140280. Its totient is φ = 42301440.

The previous prime is 130501993. The next prime is 130502039. The reversal of 130502016 is 610205031.

It is an interprime number because it is at equal distance from previous prime (130501993) and next prime (130502039).

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

It is a self number, because there is not a number n which added to its sum of digits gives 130502016.

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 19 ways as a sum of consecutive naturals, for example, 424935 + ... + 425241.

Almost surely, 2130502016 is an apocalyptic number.

130502016 is a gapful number since it is divisible by the number (16) 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 130502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199570140).

130502016 is an abundant number, since it is smaller than the sum of its proper divisors (268638264).

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

130502016 is an equidigital number, since it uses as much as digits as its factorization.

130502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130502016 is about 11423.7478963780. The cubic root of 130502016 is about 507.2309441194.

Adding to 130502016 its reverse (610205031), we get a palindrome (740707047).

The spelling of 130502016 in words is "one hundred thirty million, five hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 307 324 328 369 384 432 492 576 614 648 656 738 864 921 984 1107 1152 1228 1296 1312 1476 1728 1842 1968 2214 2456 2592 2624 2763 2952 3321 3456 3684 3936 4428 4912 5184 5248 5526 5904 6642 7368 7872 8289 8856 9824 10368 11052 11808 12587 13284 14736 15744 16578 17712 19648 22104 23616 24867 25174 26568 29472 33156 35424 37761 39296 44208 47232 49734 50348 53136 58944 66312 70848 75522 88416 99468 100696 106272 113283 117888 132624 141696 151044 176832 198936 201392 212544 226566 265248 302088 339849 353664 397872 402784 425088 453132 530496 604176 679698 795744 805568 906264 1019547 1060992 1208352 1359396 1591488 1611136 1812528 2039094 2416704 2718792 3182976 3625056 4078188 4833408 5437584 7250112 8156376 10875168 14500224 16312752 21750336 32625504 43500672 65251008 130502016