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130365150 = 235223291303
BaseRepresentation
bin1111100010100…
…11011011011110
3100002022020100220
413301103123132
5231333141100
620534102210
73142041216
oct761233336
9302266326
10130365150
11676512a3
12377aa966
1321015a56
1413457246
15b6a1aa0
hex7c536de

130365150 has 96 divisors (see below), whose sum is σ = 349263360. Its totient is φ = 32081280.

The previous prime is 130365149. The next prime is 130365203. The reversal of 130365150 is 51563031.

It is a self number, because there is not a number n which added to its sum of digits gives 130365150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99399 + ... + 100701.

It is an arithmetic number, because the mean of its divisors is an integer number (3638160).

Almost surely, 2130365150 is an apocalyptic number.

130365150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130365150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174631680).

130365150 is an abundant number, since it is smaller than the sum of its proper divisors (218898210).

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

130365150 is a wasteful number, since it uses less digits than its factorization.

130365150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 130365150 is about 11417.7559091093. The cubic root of 130365150 is about 507.0535600042.

The spelling of 130365150 in words is "one hundred thirty million, three hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 29 30 46 50 58 69 75 87 115 138 145 150 174 230 290 345 435 575 667 690 725 870 1150 1303 1334 1450 1725 2001 2175 2606 3335 3450 3909 4002 4350 6515 6670 7818 10005 13030 16675 19545 20010 29969 32575 33350 37787 39090 50025 59938 65150 75574 89907 97725 100050 113361 149845 179814 188935 195450 226722 299690 377870 449535 566805 749225 869101 899070 944675 1133610 1498450 1738202 1889350 2247675 2607303 2834025 4345505 4495350 5214606 5668050 8691010 13036515 21727525 26073030 43455050 65182575 130365150