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13128930 = 2325178581
BaseRepresentation
bin110010000101…
…010011100010
3220201000111200
4302011103202
511330111210
61145222030
7216410523
oct62052342
926630450
1013128930
117457a61
124491916
132948ac9
141a5a84a
1512450c0
hexc854e2

13128930 has 48 divisors (see below), whose sum is σ = 36147384. Its totient is φ = 3294720.

The previous prime is 13128923. The next prime is 13128949. The reversal of 13128930 is 3982131.

It can be written as a sum of positive squares in 4 ways, for example, as 7667361 + 5461569 = 2769^2 + 2337^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13128894 and 13128903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761 + ... + 5820.

Almost surely, 213128930 is an apocalyptic number.

13128930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13128930 is an abundant number, since it is smaller than the sum of its proper divisors (23018454).

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

13128930 is a wasteful number, since it uses less digits than its factorization.

13128930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611 (or 8608 counting only the distinct ones).

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

The square root of 13128930 is about 3623.3865374812. The cubic root of 13128930 is about 235.9082402058.

The spelling of 13128930 in words is "thirteen million, one hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 8581 17162 25743 42905 51486 77229 85810 128715 145877 154458 257430 291754 386145 437631 729385 772290 875262 1312893 1458770 2188155 2625786 4376310 6564465 13128930