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12869712 = 2433313
BaseRepresentation
bin110001000110…
…000001010000
3220012211221000
4301012001100
511243312322
61135502000
7214251012
oct61060120
926184830
1012869712
1172a0229
124387900
132887b1b
1419d01b2
1511e33ac
hexc46050

12869712 has 80 divisors (see below), whose sum is σ = 38172160. Its totient is φ = 4151520.

The previous prime is 12869699. The next prime is 12869713. The reversal of 12869712 is 21796821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (12096) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12869713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415137 + ... + 415167.

It is an arithmetic number, because the mean of its divisors is an integer number (477152).

Almost surely, 212869712 is an apocalyptic number.

12869712 is a gapful number since it is divisible by the number (12) 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 12869712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086080).

12869712 is an abundant number, since it is smaller than the sum of its proper divisors (25302448).

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

12869712 is an frugal number, since it uses more digits than its factorization.

12869712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12869712 is about 3587.4380830894. The cubic root of 12869712 is about 234.3453152804.

The spelling of 12869712 in words is "twelve million, eight hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 961 1116 1488 1674 1922 2232 2883 3348 3844 4464 5766 6696 7688 8649 11532 13392 15376 17298 23064 25947 29791 34596 46128 51894 59582 69192 89373 103788 119164 138384 178746 207576 238328 268119 357492 415152 476656 536238 714984 804357 1072476 1429968 1608714 2144952 3217428 4289904 6434856 12869712