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12714528 = 253294567
BaseRepresentation
bin110000100000…
…001000100000
3212220222001110
4300200020200
511223331103
61132303320
7213033411
oct60401040
925828043
1012714528
1171a4682
124311b40
1328322b8
14198d808
1511b2403
hexc20220

12714528 has 48 divisors (see below), whose sum is σ = 34534080. Its totient is φ = 4091136.

The previous prime is 12714517. The next prime is 12714529. The reversal of 12714528 is 82541721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12714495 and 12714504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12714529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (719460).

Almost surely, 212714528 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 12714528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267040).

12714528 is an abundant number, since it is smaller than the sum of its proper divisors (21819552).

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

12714528 is a wasteful number, since it uses less digits than its factorization.

12714528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4601 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 12714528 is about 3565.7436811975. The cubic root of 12714528 is about 233.3995857217.

The spelling of 12714528 in words is "twelve million, seven hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4567 9134 13701 18268 27402 36536 54804 73072 109608 132443 146144 219216 264886 397329 438432 529772 794658 1059544 1589316 2119088 3178632 4238176 6357264 12714528