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130018000 = 2453737251
BaseRepresentation
bin1111011111111…
…10101011010000
3100001122121011111
413233332223100
5231241034000
620522423104
73136064140
oct757765320
9301577144
10130018000
11674344a2
1237661a94
1320c23a38
14133a6920
15b633cba
hex7bfead0

130018000 has 160 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 43200000.

The previous prime is 130017949. The next prime is 130018003. The reversal of 130018000 is 810031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130018003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517875 + ... + 518125.

Almost surely, 2130018000 is an apocalyptic number.

130018000 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 130018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

130018000 is an abundant number, since it is smaller than the sum of its proper divisors (240458288).

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

130018000 is a wasteful number, since it uses less digits than its factorization.

130018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 130018000 is about 11402.5435758869. The cubic root of 130018000 is about 506.6030814327.

Adding to 130018000 its reverse (810031), we get a palindrome (130828031).

The spelling of 130018000 in words is "one hundred thirty million, eighteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 80 100 112 125 140 148 175 185 200 250 251 259 280 296 350 370 400 500 502 518 560 592 700 740 875 925 1000 1004 1036 1255 1295 1400 1480 1750 1757 1850 2000 2008 2072 2510 2590 2800 2960 3500 3514 3700 4016 4144 4625 5020 5180 6275 6475 7000 7028 7400 8785 9250 9287 10040 10360 12550 12950 14000 14056 14800 17570 18500 18574 20080 20720 25100 25900 28112 31375 32375 35140 37000 37148 43925 46435 50200 51800 62750 64750 65009 70280 74000 74296 87850 92870 100400 103600 125500 129500 130018 140560 148592 175700 185740 219625 232175 251000 259000 260036 325045 351400 371480 439250 464350 502000 518000 520072 650090 702800 742960 878500 928700 1040144 1160875 1300180 1625225 1757000 1857400 2321750 2600360 3250450 3514000 3714800 4643500 5200720 6500900 8126125 9287000 13001800 16252250 18574000 26003600 32504500 65009000 130018000