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13745472 = 263135507
BaseRepresentation
bin110100011011…
…110101000000
3221212100020120
4310123311000
512004323342
61210340240
7224556156
oct64336500
927770216
1013745472
1178391a4
12472a680
132b03620
141b7b3d6
151317aec
hexd1bd40

13745472 has 56 divisors (see below), whose sum is σ = 39172896. Its totient is φ = 4228608.

The previous prime is 13745461. The next prime is 13745489. The reversal of 13745472 is 27454731.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 258 + ... + 5249.

It is an arithmetic number, because the mean of its divisors is an integer number (699516).

Almost surely, 213745472 is an apocalyptic number.

13745472 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 13745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586448).

13745472 is an abundant number, since it is smaller than the sum of its proper divisors (25427424).

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

13745472 is a wasteful number, since it uses less digits than its factorization.

13745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5525 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 13745472 is about 3707.4886378787. The cubic root of 13745472 is about 239.5446923306.

It can be divided in two parts, 1 and 3745472, that added together give a palindrome (3745473).

The spelling of 13745472 in words is "thirteen million, seven hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5507 11014 16521 22028 33042 44056 66084 71591 88112 132168 143182 176224 214773 264336 286364 352448 429546 528672 572728 859092 1057344 1145456 1718184 2290912 3436368 4581824 6872736 13745472