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130135640 = 23541731087
BaseRepresentation
bin1111100000110…
…11011001011000
3100001212120112112
413300123121120
5231303320030
620525131452
73140064125
oct760333130
9301776475
10130135640
1167504918
12376b9b88
1320c6544b
14133d774c
15b658a95
hex7c1b658

130135640 has 64 divisors (see below), whose sum is σ = 304335360. Its totient is φ = 50042880.

The previous prime is 130135637. The next prime is 130135661. The reversal of 130135640 is 46531031.

It is a happy number.

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, 119177 + ... + 120263.

It is an arithmetic number, because the mean of its divisors is an integer number (4755240).

Almost surely, 2130135640 is an apocalyptic number.

130135640 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 130135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680).

130135640 is an abundant number, since it is smaller than the sum of its proper divisors (174199720).

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

130135640 is a wasteful number, since it uses less digits than its factorization.

130135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 130135640 is about 11407.7009077202. The cubic root of 130135640 is about 506.7558264915.

Adding to 130135640 its reverse (46531031), we get a palindrome (176666671).

The spelling of 130135640 in words is "one hundred thirty million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 164 205 292 328 365 410 584 730 820 1087 1460 1640 2174 2920 2993 4348 5435 5986 8696 10870 11972 14965 21740 23944 29930 43480 44567 59860 79351 89134 119720 158702 178268 222835 317404 356536 396755 445670 634808 793510 891340 1587020 1782680 3174040 3253391 6506782 13013564 16266955 26027128 32533910 65067820 130135640