Search a number
-
+
130180224 = 273477213
BaseRepresentation
bin1111100001001…
…10010010000000
3100001221211200210
413300212102000
5231311231344
620530114120
73140341116
oct760462200
9301854623
10130180224
1167535369
123771b940
1320c7c825
1413409ab6
15b666db9
hex7c26480

130180224 has 64 divisors (see below), whose sum is σ = 353197440. Its totient is φ = 42464256.

The previous prime is 130180189. The next prime is 130180273. The reversal of 130180224 is 422081031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 130180224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14442 + ... + 21654.

It is an arithmetic number, because the mean of its divisors is an integer number (5518710).

Almost surely, 2130180224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176598720).

130180224 is an abundant number, since it is smaller than the sum of its proper divisors (223017216).

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

130180224 is an equidigital number, since it uses as much as digits as its factorization.

130180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 130180224 is about 11409.6548589342. The cubic root of 130180224 is about 506.8136907890.

The spelling of 130180224 in words is "one hundred thirty million, one hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 7213 9024 14426 18048 21639 28852 43278 57704 86556 115408 173112 230816 339011 346224 461632 678022 692448 923264 1017033 1356044 1384896 2034066 2712088 2769792 4068132 5424176 8136264 10848352 16272528 21696704 32545056 43393408 65090112 130180224