Search a number
-
+
130045312 = 2723163271
BaseRepresentation
bin1111100000001…
…01010110000000
3100001200222122001
413300011112000
5231242422222
620523153344
73136236565
oct760052600
9301628561
10130045312
1167452a71
1237675854
1320c332b7
14133b286c
15b63be27
hex7c05580

130045312 has 64 divisors (see below), whose sum is σ = 273000960. Its totient is φ = 61585920.

The previous prime is 130045303. The next prime is 130045319. The reversal of 130045312 is 213540031.

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 130045312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130045319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479737 + ... + 480007.

It is an arithmetic number, because the mean of its divisors is an integer number (4265640).

Almost surely, 2130045312 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 130045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136500480).

130045312 is an abundant number, since it is smaller than the sum of its proper divisors (142955648).

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

130045312 is a wasteful number, since it uses less digits than its factorization.

130045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 130045312 is about 11403.7411405205. The cubic root of 130045312 is about 506.6385518410.

Adding to 130045312 its reverse (213540031), we get a palindrome (343585343).

The spelling of 130045312 in words is "one hundred thirty million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 163 184 271 326 368 542 652 736 1084 1304 1472 2168 2608 2944 3749 4336 5216 6233 7498 8672 10432 12466 14996 17344 20864 24932 29992 34688 44173 49864 59984 88346 99728 119968 176692 199456 239936 353384 398912 479872 706768 797824 1015979 1413536 2031958 2827072 4063916 5654144 8127832 16255664 32511328 65022656 130045312