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13712976 = 24353527
BaseRepresentation
bin110100010011…
…111001010000
3221210200200000
4310103321100
512002303401
61205530000
7224362344
oct64237120
927720600
1013712976
117816842
124713900
132ac18b4
141b6d624
15130d186
hexd13e50

13712976 has 60 divisors (see below), whose sum is σ = 39809952. Its totient is φ = 4569696.

The previous prime is 13712971. The next prime is 13712989. The reversal of 13712976 is 67921731.

It is a happy number.

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 13712976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125 + ... + 5651.

Almost surely, 213712976 is an apocalyptic number.

13712976 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 13712976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904976).

13712976 is an abundant number, since it is smaller than the sum of its proper divisors (26096976).

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

13712976 is an equidigital number, since it uses as much as digits as its factorization.

13712976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3532 counting only the distinct ones).

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

The square root of 13712976 is about 3703.1035632291. The cubic root of 13712976 is about 239.3557722582.

The spelling of 13712976 in words is "thirteen million, seven hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3527 3888 7054 10581 14108 21162 28216 31743 42324 56432 63486 84648 95229 126972 169296 190458 253944 285687 380916 507888 571374 761832 857061 1142748 1523664 1714122 2285496 3428244 4570992 6856488 13712976