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13782220 = 2251936269
BaseRepresentation
bin110100100100…
…110011001100
3221221012122121
4310210303030
512012012340
61211222324
7225101254
oct64446314
927835577
1013782220
117863871
1247479a4
132b1727a
141b8a964
15132394a
hexd24ccc

13782220 has 24 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 5222592.

The previous prime is 13782217. The next prime is 13782229. The reversal of 13782220 is 2228731.

It is not an unprimeable number, because it can be changed into a prime (13782229) 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 7 ways as a sum of consecutive naturals, for example, 17755 + ... + 18514.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 213782220 is an apocalyptic number.

13782220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782220 is an abundant number, since it is smaller than the sum of its proper divisors (16684580).

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

13782220 is a wasteful number, since it uses less digits than its factorization.

13782220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36297 (or 36295 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13782220 is about 3712.4412453263. The cubic root of 13782220 is about 239.7579736047.

The spelling of 13782220 in words is "thirteen million, seven hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 36269 72538 145076 181345 362690 689111 725380 1378222 2756444 3445555 6891110 13782220