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12965430 = 2354183127
BaseRepresentation
bin110001011101…
…011000110110
3220101201020010
4301131120312
511304343210
61141521050
7215130042
oct61353066
926351203
1012965430
117356135
124413186
1328bc56a
141a17022
151211920
hexc5d636

12965430 has 64 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 3306240.

The previous prime is 12965423. The next prime is 12965461. The reversal of 12965430 is 3456921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102027 + ... + 102153.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 212965430 is an apocalyptic number.

12965430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12965430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

12965430 is an abundant number, since it is smaller than the sum of its proper divisors (19548618).

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

12965430 is a wasteful number, since it uses less digits than its factorization.

12965430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 12965430 is about 3600.7540876877. The cubic root of 12965430 is about 234.9248590305.

The spelling of 12965430 in words is "twelve million, nine hundred sixty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 127 166 205 246 249 254 381 410 415 498 615 635 762 830 1230 1245 1270 1905 2490 3403 3810 5207 6806 10209 10414 10541 15621 17015 20418 21082 26035 31242 31623 34030 51045 52070 52705 63246 78105 102090 105410 156210 158115 316230 432181 864362 1296543 2160905 2593086 4321810 6482715 12965430