Search a number
-
+
130444240 = 24537127347
BaseRepresentation
bin1111100011001…
…10101111010000
3100002110020212011
413301212233100
5231343203430
620535512304
73142520623
oct761465720
9302406764
10130444240
11676a5763
1237828694
1321042a54
1413477dba
15b6ba22a
hex7c66bd0

130444240 has 80 divisors (see below), whose sum is σ = 314836992. Its totient is φ = 50222592.

The previous prime is 130444229. The next prime is 130444267. The reversal of 130444240 is 42444031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375747 + ... + 376093.

Almost surely, 2130444240 is an apocalyptic number.

130444240 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 130444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157418496).

130444240 is an abundant number, since it is smaller than the sum of its proper divisors (184392752).

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

130444240 is a wasteful number, since it uses less digits than its factorization.

130444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 130444240 is about 11421.2188491422. The cubic root of 130444240 is about 507.1560791180.

Adding to 130444240 its reverse (42444031), we get a palindrome (172888271).

The spelling of 130444240 in words is "one hundred thirty million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 127 148 185 254 296 347 370 508 592 635 694 740 1016 1270 1388 1480 1735 2032 2540 2776 2960 3470 4699 5080 5552 6940 9398 10160 12839 13880 18796 23495 25678 27760 37592 44069 46990 51356 64195 75184 88138 93980 102712 128390 176276 187960 205424 220345 256780 352552 375920 440690 513560 705104 881380 1027120 1630553 1762760 3261106 3525520 6522212 8152765 13044424 16305530 26088848 32611060 65222120 130444240