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14682096 = 243211132331
BaseRepresentation
bin111000000000…
…011111110000
31000121221001100
4320000133300
512224311341
61242404400
7235536642
oct70003760
930557040
1014682096
118318970
124b00700
133070a40
141d42892
1514503b6
hexe007f0

14682096 has 240 divisors, whose sum is σ = 51996672. Its totient is φ = 3801600.

The previous prime is 14682053. The next prime is 14682103. The reversal of 14682096 is 69028641.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14682096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473601 + ... + 473631.

Almost surely, 214682096 is an apocalyptic number.

14682096 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 14682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

14682096 is an abundant number, since it is smaller than the sum of its proper divisors (37314576).

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

14682096 is a wasteful number, since it uses less digits than its factorization.

14682096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14682096 is about 3831.7223281444. The cubic root of 14682096 is about 244.8664884118.

The spelling of 14682096 in words is "fourteen million, six hundred eighty-two thousand, ninety-six".