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130427760 = 24355961151
BaseRepresentation
bin1111100011000…
…10101101110000
3100002102102020210
413301202231300
5231342142020
620535304120
73142421601
oct761425560
9302372223
10130427760
1167694341
123781b040
13210383b8
1413471da8
15b6b53e0
hex7c62b70

130427760 has 160 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 33408000.

The previous prime is 130427741. The next prime is 130427771. The reversal of 130427760 is 67724031.

It is a super-2 number, since 2×1304277602 = 34022801157235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863685 + ... + 863835.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2130427760 is an apocalyptic number.

130427760 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 130427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

130427760 is an abundant number, since it is smaller than the sum of its proper divisors (290259600).

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

130427760 is a wasteful number, since it uses less digits than its factorization.

130427760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 130427760 is about 11420.4973621992. The cubic root of 130427760 is about 507.1347206070.

It can be divided in two parts, 13042 and 7760, that added together give a palindrome (20802).

The spelling of 130427760 in words is "one hundred thirty million, four hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 61 80 118 120 122 151 177 183 236 240 244 295 302 305 354 366 453 472 488 590 604 610 708 732 755 885 906 915 944 976 1180 1208 1220 1416 1464 1510 1770 1812 1830 2265 2360 2416 2440 2832 2928 3020 3540 3599 3624 3660 4530 4720 4880 6040 7080 7198 7248 7320 8909 9060 9211 10797 12080 14160 14396 14640 17818 17995 18120 18422 21594 26727 27633 28792 35636 35990 36240 36844 43188 44545 46055 53454 53985 55266 57584 71272 71980 73688 86376 89090 92110 106908 107970 110532 133635 138165 142544 143960 147376 172752 178180 184220 213816 215940 221064 267270 276330 287920 356360 368440 427632 431880 442128 534540 543449 552660 712720 736880 863760 1069080 1086898 1105320 1630347 2138160 2173796 2210640 2717245 3260694 4347592 5434490 6521388 8151735 8695184 10868980 13042776 16303470 21737960 26085552 32606940 43475920 65213880 130427760