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13722696 = 233613181
BaseRepresentation
bin110100010110…
…010001001000
3221211012000000
4310112101020
512003111241
61210043000
7224432601
oct64262110
927735000
1013722696
117823079
124719460
132ac6150
141b72da8
151310eb6
hexd16448

13722696 has 112 divisors (see below), whose sum is σ = 41774460. Its totient is φ = 4199040.

The previous prime is 13722691. The next prime is 13722721. The reversal of 13722696 is 69622731.

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 3572100 = 3186^2 + 1890^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13722696.

It is not an unprimeable number, because it can be changed into a prime (13722691) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75726 + ... + 75906.

Almost surely, 213722696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13722696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887230).

13722696 is an abundant number, since it is smaller than the sum of its proper divisors (28051764).

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

13722696 is a wasteful number, since it uses less digits than its factorization.

13722696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13722696 is about 3704.4157434068. The cubic root of 13722696 is about 239.4123121035.

The spelling of 13722696 in words is "thirteen million, seven hundred twenty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 181 216 234 243 312 324 351 362 468 486 543 648 702 724 729 936 972 1053 1086 1404 1448 1458 1629 1944 2106 2172 2353 2808 2916 3159 3258 4212 4344 4706 4887 5832 6318 6516 7059 8424 9412 9477 9774 12636 13032 14118 14661 18824 18954 19548 21177 25272 28236 29322 37908 39096 42354 43983 56472 58644 63531 75816 84708 87966 117288 127062 131949 169416 175932 190593 254124 263898 351864 381186 508248 527796 571779 762372 1055592 1143558 1524744 1715337 2287116 3430674 4574232 6861348 13722696