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13009392 = 24321143191
BaseRepresentation
bin110001101000…
…000111110000
3220110221112100
4301220013300
511312300032
61142500400
7215402154
oct61500760
926427470
1013009392
117386170
124434700
132906586
141a29064
15121e97c
hexc681f0

13009392 has 120 divisors (see below), whose sum is σ = 40854528. Its totient is φ = 3830400.

The previous prime is 13009391. The next prime is 13009439. The reversal of 13009392 is 29390031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68017 + ... + 68207.

Almost surely, 213009392 is an apocalyptic number.

13009392 is a gapful number since it is divisible by the number (12) 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 13009392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264).

13009392 is an abundant number, since it is smaller than the sum of its proper divisors (27845136).

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

13009392 is a wasteful number, since it uses less digits than its factorization.

13009392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 13009392 is about 3606.8534763697. The cubic root of 13009392 is about 235.1900801036.

The spelling of 13009392 in words is "thirteen million, nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 191 198 258 264 344 382 387 396 473 516 528 573 688 764 774 792 946 1032 1146 1419 1528 1548 1584 1719 1892 2064 2101 2292 2838 3056 3096 3438 3784 4202 4257 4584 5676 6192 6303 6876 7568 8213 8404 8514 9168 11352 12606 13752 16426 16808 17028 18909 22704 24639 25212 27504 32852 33616 34056 37818 49278 50424 65704 68112 73917 75636 90343 98556 100848 131408 147834 151272 180686 197112 271029 295668 302544 361372 394224 542058 591336 722744 813087 1084116 1182672 1445488 1626174 2168232 3252348 4336464 6504696 13009392