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13431726 = 2327112881
BaseRepresentation
bin110011001111…
…001110101110
3221021101212100
4303033032232
511414303401
61155515530
7222111360
oct63171656
927241770
1013431726
117644500
1245b8ba6
132a23889
141ad8d30
1512a4b86
hexccf3ae

13431726 has 72 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 3484800.

The previous prime is 13431721. The next prime is 13431731. The reversal of 13431726 is 62713431.

It is an interprime number because it is at equal distance from previous prime (13431721) and next prime (13431731).

It is a super-2 number, since 2×134317262 = 360822526678152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13431726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14806 + ... + 15686.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 213431726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

13431726 is an abundant number, since it is smaller than the sum of its proper divisors (23167746).

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

13431726 is a wasteful number, since it uses less digits than its factorization.

13431726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13431726 is about 3664.9319229694. The cubic root of 13431726 is about 237.7080784024.

The spelling of 13431726 in words is "thirteen million, four hundred thirty-one thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 881 1089 1386 1694 1762 2178 2541 2643 5082 5286 6167 7623 7929 9691 12334 15246 15858 18501 19382 29073 37002 55503 58146 67837 87219 106601 111006 135674 174438 203511 213202 319803 407022 610533 639606 746207 959409 1221066 1492414 1918818 2238621 4477242 6715863 13431726