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13130390 = 2571347307
BaseRepresentation
bin110010000101…
…101010010110
3220201002111202
4302011222112
511330133030
61145232502
7216415010
oct62055226
926632452
1013130390
117459069
124492732
132949680
141a5b1b0
151245745
hexc85a96

13130390 has 64 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 4053888.

The previous prime is 13130371. The next prime is 13130393. The reversal of 13130390 is 9303131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42617 + ... + 42923.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 213130390 is an apocalyptic number.

13130390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130390 is an abundant number, since it is smaller than the sum of its proper divisors (16674154).

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

13130390 is a wasteful number, since it uses less digits than its factorization.

13130390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 13130390 is about 3623.5880008632. The cubic root of 13130390 is about 235.9169845910.

The spelling of 13130390 in words is "thirteen million, one hundred thirty thousand, three hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 47 65 70 91 94 130 182 235 307 329 455 470 611 614 658 910 1222 1535 1645 2149 3055 3070 3290 3991 4277 4298 6110 7982 8554 10745 14429 19955 21385 21490 27937 28858 39910 42770 55874 72145 101003 139685 144290 187577 202006 279370 375154 505015 937885 1010030 1313039 1875770 2626078 6565195 13130390