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130360140 = 223251947811
BaseRepresentation
bin1111100010100…
…10001101001100
3100002021222111100
413301102031030
5231333011030
620534023100
73142020501
oct761221514
9302258440
10130360140
1167648559
12377a7a90
13210136a1
14134554a8
15b6a0360
hex7c5234c

130360140 has 144 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 32192640.

The previous prime is 130360129. The next prime is 130360141. The reversal of 130360140 is 41063031.

It is a super-2 number, since 2×1303601402 = 33987532201639200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130360141) by changing a digit.

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, 160335 + ... + 161145.

It is an arithmetic number, because the mean of its divisors is an integer number (2955680).

Almost surely, 2130360140 is an apocalyptic number.

130360140 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 130360140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

130360140 is an abundant number, since it is smaller than the sum of its proper divisors (295257780).

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

130360140 is a wasteful number, since it uses less digits than its factorization.

130360140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130360140 is about 11417.5365118751. The cubic root of 130360140 is about 507.0470644777.

The spelling of 130360140 in words is "one hundred thirty million, three hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 228 235 282 285 342 380 423 470 564 570 684 705 811 846 855 893 940 1140 1410 1622 1692 1710 1786 2115 2433 2679 2820 3244 3420 3572 4055 4230 4465 4866 5358 7299 8037 8110 8460 8930 9732 10716 12165 13395 14598 15409 16074 16220 17860 24330 26790 29196 30818 32148 36495 38117 40185 46227 48660 53580 61636 72990 76234 77045 80370 92454 114351 138681 145980 152468 154090 160740 184908 190585 228702 231135 277362 308180 343053 381170 457404 462270 554724 571755 686106 693405 724223 762340 924540 1143510 1372212 1386810 1448446 1715265 2172669 2287020 2773620 2896892 3430530 3621115 4345338 6518007 6861060 7242230 8690676 10863345 13036014 14484460 21726690 26072028 32590035 43453380 65180070 130360140