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12729696 = 253719997
BaseRepresentation
bin110000100011…
…110101100000
3212221201212020
4300203311200
511224322241
61132501440
7213125550
oct60436540
925851766
1012729696
117205011
12431a880
132839185
141995160
1511b6b66
hexc23d60

12729696 has 96 divisors (see below), whose sum is σ = 40239360. Its totient is φ = 3442176.

The previous prime is 12729679. The next prime is 12729697. The reversal of 12729696 is 69692721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12270 + ... + 13266.

It is an arithmetic number, because the mean of its divisors is an integer number (419160).

Almost surely, 212729696 is an apocalyptic number.

12729696 is a gapful number since it is divisible by the number (16) 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 12729696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119680).

12729696 is an abundant number, since it is smaller than the sum of its proper divisors (27509664).

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

12729696 is a wasteful number, since it uses less digits than its factorization.

12729696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1028 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 12729696 is about 3567.8699527870. The cubic root of 12729696 is about 233.4923614312.

The spelling of 12729696 in words is "twelve million, seven hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 997 1064 1596 1824 1994 2128 2991 3192 3988 4256 5982 6384 6979 7976 11964 12768 13958 15952 18943 20937 23928 27916 31904 37886 41874 47856 55832 56829 75772 83748 95712 111664 113658 132601 151544 167496 223328 227316 265202 303088 334992 397803 454632 530404 606176 669984 795606 909264 1060808 1591212 1818528 2121616 3182424 4243232 6364848 12729696