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130641000 = 2335376221
BaseRepresentation
bin1111100100101…
…10110001101000
3100002211020202120
413302112301220
5231421003000
620544031240
73144300360
oct762266150
9302736676
10130641000
116781a576
1237902520
13210b1489
14134c99a0
15b7086a0
hex7c96c68

130641000 has 128 divisors (see below), whose sum is σ = 465903360. Its totient is φ = 29856000.

The previous prime is 130640999. The next prime is 130641011. The reversal of 130641000 is 146031.

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

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, 17890 + ... + 24110.

It is an arithmetic number, because the mean of its divisors is an integer number (3639870).

Almost surely, 2130641000 is an apocalyptic number.

130641000 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 130641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232951680).

130641000 is an abundant number, since it is smaller than the sum of its proper divisors (335262360).

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

130641000 is a wasteful number, since it uses less digits than its factorization.

130641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6238 counting only the distinct ones).

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

The square root of 130641000 is about 11429.8293950522. The cubic root of 130641000 is about 507.4109463809.

Adding to 130641000 its reverse (146031), we get a palindrome (130787031).

The spelling of 130641000 in words is "one hundred thirty million, six hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 6221 7000 10500 12442 18663 21000 24884 31105 37326 43547 49768 62210 74652 87094 93315 124420 130641 149304 155525 174188 186630 217735 248840 261282 311050 348376 373260 435470 466575 522564 622100 653205 746520 777625 870940 933150 1045128 1088675 1244200 1306410 1555250 1741880 1866300 2177350 2332875 2612820 3110500 3266025 3732600 4354700 4665750 5225640 5443375 6221000 6532050 8709400 9331500 10886750 13064100 16330125 18663000 21773500 26128200 32660250 43547000 65320500 130641000