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130401060 = 2235109127157
BaseRepresentation
bin1111100010111…
…00001100100100
3100002101001121220
413301130030210
5231340313220
620534540340
73142251006
oct761341444
9302331556
10130401060
1167676279
12378076b0
13210291ba
1413466376
15b6ac540
hex7c5c324

130401060 has 96 divisors (see below), whose sum is σ = 373739520. Its totient is φ = 33965568.

The previous prime is 130401049. The next prime is 130401071. The reversal of 130401060 is 60104031.

It is an interprime number because it is at equal distance from previous prime (130401049) and next prime (130401071).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 830502 + ... + 830658.

It is an arithmetic number, because the mean of its divisors is an integer number (3893120).

Almost surely, 2130401060 is an apocalyptic number.

130401060 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 130401060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186869760).

130401060 is an abundant number, since it is smaller than the sum of its proper divisors (243338460).

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

130401060 is a wasteful number, since it uses less digits than its factorization.

130401060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130401060 is about 11419.3283515275. The cubic root of 130401060 is about 507.1001128898.

Adding to 130401060 its reverse (60104031), we get a palindrome (190505091).

The spelling of 130401060 in words is "one hundred thirty million, four hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 127 157 218 254 314 327 381 436 471 508 545 628 635 654 762 785 942 1090 1270 1308 1524 1570 1635 1884 1905 2180 2355 2540 3140 3270 3810 4710 6540 7620 9420 13843 17113 19939 27686 34226 39878 41529 51339 55372 59817 68452 69215 79756 83058 85565 99695 102678 119634 138430 166116 171130 199390 205356 207645 239268 256695 276860 299085 342260 398780 415290 513390 598170 830580 1026780 1196340 2173351 4346702 6520053 8693404 10866755 13040106 21733510 26080212 32600265 43467020 65200530 130401060