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130405140 = 22345101797
BaseRepresentation
bin1111100010111…
…01001100010100
3100002101021020000
413301131030110
5231340431030
620535011300
73142265625
oct761351424
9302337200
10130405140
1167679348
1237809b30
132102b008
1413467a4c
15b6ad860
hex7c5d314

130405140 has 120 divisors (see below), whose sum is σ = 413654472. Its totient is φ = 34387200.

The previous prime is 130405117. The next prime is 130405159. The reversal of 130405140 is 41504031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 87946884 = 6516^2 + 9378^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163222 + ... + 164018.

Almost surely, 2130405140 is an apocalyptic number.

130405140 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 130405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206827236).

130405140 is an abundant number, since it is smaller than the sum of its proper divisors (283249332).

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

130405140 is a wasteful number, since it uses less digits than its factorization.

130405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130405140 is about 11419.5069946123. The cubic root of 130405140 is about 507.1054015658.

Adding to 130405140 its reverse (41504031), we get a palindrome (171909171).

The spelling of 130405140 in words is "one hundred thirty million, four hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 797 810 909 1010 1212 1515 1594 1620 1818 2020 2391 2727 3030 3188 3636 3985 4545 4782 5454 6060 7173 7970 8181 9090 9564 10908 11955 13635 14346 15940 16362 18180 21519 23910 27270 28692 32724 35865 40905 43038 47820 54540 64557 71730 80497 81810 86076 107595 129114 143460 160994 163620 215190 241491 258228 321988 322785 402485 430380 482982 645570 724473 804970 965964 1207455 1291140 1448946 1609940 2173419 2414910 2897892 3622365 4346838 4829820 6520257 7244730 8693676 10867095 13040514 14489460 21734190 26081028 32601285 43468380 65202570 130405140