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14729820 = 22357172063
BaseRepresentation
bin111000001100…
…001001011100
31000201100111220
4320030021130
512232323240
61243413340
7236126040
oct70141134
930640456
1014729820
118350806
124b24250
133089691
141d56020
15145e5d0
hexe0c25c

14729820 has 96 divisors (see below), whose sum is σ = 49932288. Its totient is φ = 3167232.

The previous prime is 14729801. The next prime is 14729833. The reversal of 14729820 is 2892741.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6109 + ... + 8171.

It is an arithmetic number, because the mean of its divisors is an integer number (520128).

Almost surely, 214729820 is an apocalyptic number.

14729820 is a gapful number since it is divisible by the number (10) 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 14729820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966144).

14729820 is an abundant number, since it is smaller than the sum of its proper divisors (35202468).

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

14729820 is a wasteful number, since it uses less digits than its factorization.

14729820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14729820 is about 3837.9447624998. The cubic root of 14729820 is about 245.1315134545.

The spelling of 14729820 in words is "fourteen million, seven hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2063 2380 3570 4126 6189 7140 8252 10315 12378 14441 20630 24756 28882 30945 35071 41260 43323 57764 61890 70142 72205 86646 105213 123780 140284 144410 173292 175355 210426 216615 245497 288820 350710 420852 433230 490994 526065 701420 736491 866460 981988 1052130 1227485 1472982 2104260 2454970 2945964 3682455 4909940 7364910 14729820