Search a number
-
+
130026160 = 245111391063
BaseRepresentation
bin1111100000000…
…00101010110000
3100001200000100201
413300000222300
5231241314120
620522524544
73136130005
oct760005260
9301600321
10130026160
116743a640
1237666754
1320c27674
14133a98ac
15b63640a
hex7c00ab0

130026160 has 80 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 46897920.

The previous prime is 130026157. The next prime is 130026167. The reversal of 130026160 is 61620031.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130026167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121789 + ... + 122851.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2130026160 is an apocalyptic number.

130026160 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 130026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

130026160 is an abundant number, since it is smaller than the sum of its proper divisors (202452560).

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

130026160 is a wasteful number, since it uses less digits than its factorization.

130026160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 130026160 is about 11402.9013851739. The cubic root of 130026160 is about 506.6136794388.

Adding to 130026160 its reverse (61620031), we get a palindrome (191646191).

The spelling of 130026160 in words is "one hundred thirty million, twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1063 1112 1390 1529 2126 2224 2780 3058 4252 5315 5560 6116 7645 8504 10630 11120 11693 12232 15290 17008 21260 23386 24464 30580 42520 46772 58465 61160 85040 93544 116930 122320 147757 187088 233860 295514 467720 591028 738785 935440 1182056 1477570 1625327 2364112 2955140 3250654 5910280 6501308 8126635 11820560 13002616 16253270 26005232 32506540 65013080 130026160