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130364340 = 223515114389
BaseRepresentation
bin1111100010100…
…11001110110100
3100002022012020220
413301103032310
5231333124330
620534054340
73142035651
oct761231664
9302265226
10130364340
1167650727
12377aa3b0
1321015582
1413456c28
15b6a1710
hex7c533b4

130364340 has 48 divisors (see below), whose sum is σ = 367463040. Its totient is φ = 34531200.

The previous prime is 130364329. The next prime is 130364341. The reversal of 130364340 is 43463031.

It is a super-2 number, since 2×1303643402 = 33989722287271200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130364340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130364341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1866 + ... + 16254.

It is an arithmetic number, because the mean of its divisors is an integer number (7655480).

Almost surely, 2130364340 is an apocalyptic number.

130364340 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 130364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183731520).

130364340 is an abundant number, since it is smaller than the sum of its proper divisors (237098700).

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

130364340 is a wasteful number, since it uses less digits than its factorization.

130364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14552 (or 14550 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 130364340 is about 11417.7204379859. The cubic root of 130364340 is about 507.0525098406.

The spelling of 130364340 in words is "one hundred thirty million, three hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 14389 28778 43167 57556 71945 86334 143890 172668 215835 287780 431670 863340 2172739 4345478 6518217 8690956 10863695 13036434 21727390 26072868 32591085 43454780 65182170 130364340