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13784274 = 2327313529
BaseRepresentation
bin110100100101…
…010011010010
3221221022110200
4310211103102
512012044044
61211240030
7225110250
oct64452322
927838420
1013784274
117865369
124749016
132b1819a
141b8b5d0
151324369
hexd254d2

13784274 has 48 divisors (see below), whose sum is σ = 35243520. Its totient is φ = 3810240.

The previous prime is 13784273. The next prime is 13784317. The reversal of 13784274 is 47248731.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13784273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142 + ... + 5670.

It is an arithmetic number, because the mean of its divisors is an integer number (734240).

Almost surely, 213784274 is an apocalyptic number.

13784274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13784274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621760).

13784274 is an abundant number, since it is smaller than the sum of its proper divisors (21459246).

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

13784274 is a wasteful number, since it uses less digits than its factorization.

13784274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3572 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 13784274 is about 3712.7178723948. The cubic root of 13784274 is about 239.7698835974.

The spelling of 13784274 in words is "thirteen million, seven hundred eighty-four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3529 3906 7058 10587 21174 24703 31761 49406 63522 74109 109399 148218 218798 222327 328197 444654 656394 765793 984591 1531586 1969182 2297379 4594758 6892137 13784274