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13431460 = 2257197487
BaseRepresentation
bin110011001111…
…001010100100
3221021101111111
4303033022210
511414301320
61155514404
7222110530
oct63171244
927241444
1013431460
117644289
1245b8a04
132a23713
141ad8bc0
1512a4a5a
hexccf2a4

13431460 has 48 divisors (see below), whose sum is σ = 32465664. Its totient is φ = 4572288.

The previous prime is 13431433. The next prime is 13431497. The reversal of 13431460 is 6413431.

13431460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27337 + ... + 27823.

It is an arithmetic number, because the mean of its divisors is an integer number (676368).

Almost surely, 213431460 is an apocalyptic number.

13431460 is a gapful number since it is divisible by the number (10) 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 13431460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232832).

13431460 is an abundant number, since it is smaller than the sum of its proper divisors (19034204).

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

13431460 is a wasteful number, since it uses less digits than its factorization.

13431460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13431460 is about 3664.8956328932. The cubic root of 13431460 is about 237.7065092130.

Adding to 13431460 its reverse (6413431), we get a palindrome (19844891).

The spelling of 13431460 in words is "thirteen million, four hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 487 788 974 985 1379 1948 1970 2435 2758 3409 3940 4870 5516 6818 6895 9740 13636 13790 17045 27580 34090 68180 95939 191878 383756 479695 671573 959390 1343146 1918780 2686292 3357865 6715730 13431460