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13842280 = 2352911933
BaseRepresentation
bin110100110011…
…011101101000
3222001021001001
4310303131220
512020423110
61212404344
7225441334
oct64633550
928037031
1013842280
1178a4a01
1247766b4
132b386ca
141ba47c4
15133663a
hexd33768

13842280 has 32 divisors (see below), whose sum is σ = 32221800. Its totient is φ = 5345536.

The previous prime is 13842239. The next prime is 13842281. The reversal of 13842280 is 8224831.

It can be written as a sum of positive squares in 4 ways, for example, as 12916836 + 925444 = 3594^2 + 962^2 .

It is not an unprimeable number, because it can be changed into a prime (13842281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4807 + ... + 7126.

Almost surely, 213842280 is an apocalyptic number.

13842280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13842280 is an abundant number, since it is smaller than the sum of its proper divisors (18379520).

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

13842280 is a wasteful number, since it uses less digits than its factorization.

13842280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 13842280 is about 3720.5214688266. The cubic root of 13842280 is about 240.1057404425.

The spelling of 13842280 in words is "thirteen million, eight hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 11933 23866 47732 59665 95464 119330 238660 346057 477320 692114 1384228 1730285 2768456 3460570 6921140 13842280