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130043540 = 2251121729109
BaseRepresentation
bin1111100000001…
…00111010010100
3100001200220012102
413300010322110
5231242343130
620523141232
73136231454
oct760047224
9301626172
10130043540
1167451700
1237674818
1320c32553
14133b1d64
15b63b645
hex7c04e94

130043540 has 144 divisors (see below), whose sum is σ = 331808400. Its totient is φ = 42577920.

The previous prime is 130043539. The next prime is 130043549. The reversal of 130043540 is 45340031.

It can be written as a sum of positive squares in 8 ways, for example, as 4648336 + 125395204 = 2156^2 + 11198^2 .

It is a super-2 number, since 2×1300435402 = 33822644591463200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130043549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193006 + ... + 1193114.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2130043540 is an apocalyptic number.

130043540 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 130043540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165904200).

130043540 is an abundant number, since it is smaller than the sum of its proper divisors (201764860).

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

130043540 is a wasteful number, since it uses less digits than its factorization.

130043540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 130043540 is about 11403.6634464544. The cubic root of 130043540 is about 506.6362506749.

Adding to 130043540 its reverse (45340031), we get a palindrome (175383571).

The spelling of 130043540 in words is "one hundred thirty million, forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 55 58 68 85 109 110 116 121 145 170 187 218 220 242 290 319 340 374 436 484 493 545 580 605 638 748 935 986 1090 1199 1210 1276 1595 1853 1870 1972 2057 2180 2398 2420 2465 3161 3190 3509 3706 3740 4114 4796 4930 5423 5995 6322 6380 7018 7412 8228 9265 9860 10285 10846 11990 12644 13189 14036 15805 17545 18530 20383 20570 21692 23980 26378 27115 31610 34771 35090 37060 40766 41140 52756 53737 54230 59653 63220 65945 69542 70180 81532 101915 107474 108460 119306 131890 139084 173855 203830 214948 224213 238612 263780 268685 298265 347710 382481 407660 448426 537370 591107 596530 695420 764962 896852 1074740 1121065 1182214 1193060 1529924 1912405 2242130 2364428 2955535 3824810 4484260 5911070 6502177 7649620 11822140 13004354 26008708 32510885 65021770 130043540