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14705928 = 2333103661
BaseRepresentation
bin111000000110…
…010100001000
31000200010202000
4320012110020
512231042203
61243111000
7235666266
oct70062410
930603660
1014705928
118334866
124b12460
13307b843
141d4b436
1514574a3
hexe06508

14705928 has 64 divisors (see below), whose sum is σ = 41308800. Its totient is φ = 4847040.

The previous prime is 14705893. The next prime is 14705959. The reversal of 14705928 is 82950741.

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

It is a junction number, because it is equal to n+sod(n) for n = 14705892 and 14705901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21918 + ... + 22578.

It is an arithmetic number, because the mean of its divisors is an integer number (645450).

Almost surely, 214705928 is an apocalyptic number.

14705928 is a gapful number since it is divisible by the number (18) 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 14705928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20654400).

14705928 is an abundant number, since it is smaller than the sum of its proper divisors (26602872).

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

14705928 is a wasteful number, since it uses less digits than its factorization.

14705928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14705928 is about 3834.8308958805. The cubic root of 14705928 is about 244.9989060065.

The spelling of 14705928 in words is "fourteen million, seven hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 661 824 927 1236 1322 1854 1983 2472 2644 2781 3708 3966 5288 5562 5949 7416 7932 11124 11898 15864 17847 22248 23796 35694 47592 68083 71388 136166 142776 204249 272332 408498 544664 612747 816996 1225494 1633992 1838241 2450988 3676482 4901976 7352964 14705928