Search a number
-
+
130192200 = 233252151479
BaseRepresentation
bin1111100001010…
…01001101001000
3100001222110010100
413300221031020
5231312122300
620530245400
73140421045
oct760511510
9301873110
10130192200
1167543366
1237726860
1320c85108
14134101cc
15b66a700
hex7c29348

130192200 has 144 divisors (see below), whose sum is σ = 441043200. Its totient is φ = 34416000.

The previous prime is 130192193. The next prime is 130192207. The reversal of 130192200 is 2291031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130192193) and next prime (130192207).

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 (130192207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 271561 + ... + 272039.

It is an arithmetic number, because the mean of its divisors is an integer number (3062800).

Almost surely, 2130192200 is an apocalyptic number.

130192200 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 130192200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

130192200 is an abundant number, since it is smaller than the sum of its proper divisors (310851000).

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

130192200 is a wasteful number, since it uses less digits than its factorization.

130192200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130192200 is about 11410.1796655443. The cubic root of 130192200 is about 506.8292318455.

The spelling of 130192200 in words is "one hundred thirty million, one hundred ninety-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 151 180 200 225 300 302 360 450 453 479 600 604 755 900 906 958 1208 1359 1437 1510 1800 1812 1916 2265 2395 2718 2874 3020 3624 3775 3832 4311 4530 4790 5436 5748 6040 6795 7185 7550 8622 9060 9580 10872 11325 11496 11975 13590 14370 15100 17244 18120 19160 21555 22650 23950 27180 28740 30200 33975 34488 35925 43110 45300 47900 54360 57480 67950 71850 72329 86220 90600 95800 107775 135900 143700 144658 172440 215550 216987 271800 287400 289316 361645 431100 433974 578632 650961 723290 862200 867948 1084935 1301922 1446580 1735896 1808225 2169870 2603844 2893160 3254805 3616450 4339740 5207688 5424675 6509610 7232900 8679480 10849350 13019220 14465800 16274025 21698700 26038440 32548050 43397400 65096100 130192200