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14084772 = 223131747113
BaseRepresentation
bin110101101110…
…101010100100
3222111120200020
4311232222210
512101203042
61221515140
7230501322
oct65565244
928446606
1014084772
117a50109
124872ab0
132bc1bb0
141c28d12
1513833ec
hexd6eaa4

14084772 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3956736.

The previous prime is 14084761. The next prime is 14084783. The reversal of 14084772 is 27748041.

It is an interprime number because it is at equal distance from previous prime (14084761) and next prime (14084783).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124588 + ... + 124700.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 214084772 is an apocalyptic number.

14084772 is a gapful number since it is divisible by the number (12) 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 14084772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

14084772 is an abundant number, since it is smaller than the sum of its proper divisors (24525660).

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

14084772 is a wasteful number, since it uses less digits than its factorization.

14084772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 14084772 is about 3752.9684251270. The cubic root of 14084772 is about 241.4997063724.

The spelling of 14084772 in words is "fourteen million, eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 47 51 52 68 78 94 102 113 141 156 188 204 221 226 282 339 442 452 564 611 663 678 799 884 1222 1326 1356 1469 1598 1833 1921 2397 2444 2652 2938 3196 3666 3842 4407 4794 5311 5763 5876 7332 7684 8814 9588 10387 10622 11526 15933 17628 20774 21244 23052 24973 31161 31866 41548 49946 62322 63732 69043 74919 90287 99892 124644 138086 149838 180574 207129 270861 276172 299676 361148 414258 541722 828516 1083444 1173731 2347462 3521193 4694924 7042386 14084772