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13130928 = 2432671361
BaseRepresentation
bin110010000101…
…110010110000
3220201010020200
4302011302300
511330142203
61145235200
7216416406
oct62056260
926633220
1013130928
117459508
124492b00
1329499a5
141a5b476
1512459a3
hexc85cb0

13130928 has 60 divisors (see below), whose sum is σ = 37324248. Its totient is φ = 4308480.

The previous prime is 13130927. The next prime is 13130969. The reversal of 13130928 is 82903131.

It is not an unprimeable number, because it can be changed into a prime (13130927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8968 + ... + 10328.

Almost surely, 213130928 is an apocalyptic number.

13130928 is a gapful number since it is divisible by the number (18) 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 13130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662124).

13130928 is an abundant number, since it is smaller than the sum of its proper divisors (24193320).

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

13130928 is a wasteful number, since it uses less digits than its factorization.

13130928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13130928 is about 3623.6622359155. The cubic root of 13130928 is about 235.9202066737.

The spelling of 13130928 in words is "thirteen million, one hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1361 1608 2412 2722 3216 4083 4824 5444 8166 9648 10888 12249 16332 21776 24498 32664 48996 65328 91187 97992 182374 195984 273561 364748 547122 729496 820683 1094244 1458992 1641366 2188488 3282732 4376976 6565464 13130928