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14680576 = 2953541
BaseRepresentation
bin111000000000…
…001000000000
31000121211222001
4320000020000
512224234301
61242353344
7235532341
oct70001000
930554861
1014680576
118317809
124abb854
133070141
141d420c8
15144ec01
hexe00200

14680576 has 40 divisors (see below), whose sum is σ = 29941164. Its totient is φ = 7188480.

The previous prime is 14680573. The next prime is 14680609. The reversal of 14680576 is 67508641.

It can be written as a sum of positive squares in 2 ways, for example, as 14622976 + 57600 = 3824^2 + 240^2 .

It is not an unprimeable number, because it can be changed into a prime (14680573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26866 + ... + 27406.

Almost surely, 214680576 is an apocalyptic number.

14680576 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 14680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970582).

14680576 is an abundant number, since it is smaller than the sum of its proper divisors (15260588).

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

14680576 is an frugal number, since it uses more digits than its factorization.

14680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 14680576 is about 3831.5239787844. The cubic root of 14680576 is about 244.8580379856.

The spelling of 14680576 in words is "fourteen million, six hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 541 848 1082 1696 2164 3392 4328 6784 8656 13568 17312 27136 28673 34624 57346 69248 114692 138496 229384 276992 458768 917536 1835072 3670144 7340288 14680576