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13727196 = 22327194761
BaseRepresentation
bin110100010111…
…010111011100
3221211102011200
4310113113130
512003232241
61210115500
7224451660
oct64272734
927742150
1013727196
11782649a
12471bb90
132ac8202
141b748a0
1513124b6
hexd175dc

13727196 has 144 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 3576960.

The previous prime is 13727183. The next prime is 13727201. The reversal of 13727196 is 69172731.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13727196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225006 + ... + 225066.

Almost surely, 213727196 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 13727196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

13727196 is an abundant number, since it is smaller than the sum of its proper divisors (29603364).

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

13727196 is a wasteful number, since it uses less digits than its factorization.

13727196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 13727196 is about 3705.0230768512. The cubic root of 13727196 is about 239.4384789166.

The spelling of 13727196 in words is "thirteen million, seven hundred twenty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 47 57 61 63 76 84 94 114 122 126 133 141 171 183 188 228 244 252 266 282 329 342 366 399 423 427 532 549 564 658 684 732 798 846 854 893 987 1098 1159 1197 1281 1316 1596 1692 1708 1786 1974 2196 2318 2394 2562 2679 2867 2961 3477 3572 3843 3948 4636 4788 5124 5358 5734 5922 6251 6954 7686 8037 8113 8601 10431 10716 11468 11844 12502 13908 15372 16074 16226 17202 18753 20069 20862 24339 25004 25803 32148 32452 34404 37506 40138 41724 48678 51606 54473 56259 60207 73017 75012 80276 97356 103212 108946 112518 120414 146034 163419 180621 217892 225036 240828 292068 326838 361242 381311 490257 653676 722484 762622 980514 1143933 1525244 1961028 2287866 3431799 4575732 6863598 13727196