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13780093 is a prime number
BaseRepresentation
bin110100100100…
…010001111101
3221221002201211
4310210101331
512011430333
61211204421
7225062125
oct64442175
927832654
1013780093
117862208
124746711
132b16302
141b89c85
151322ecd
hexd2447d

13780093 has 2 divisors, whose sum is σ = 13780094. Its totient is φ = 13780092.

The previous prime is 13780087. The next prime is 13780097. The reversal of 13780093 is 39008731.

13780093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12652249 + 1127844 = 3557^2 + 1062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13780093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13780097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6890046 + 6890047.

It is an arithmetic number, because the mean of its divisors is an integer number (6890047).

Almost surely, 213780093 is an apocalyptic number.

It is an amenable number.

13780093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13780093 is an equidigital number, since it uses as much as digits as its factorization.

13780093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 13780093 is about 3712.1547650926. The cubic root of 13780093 is about 239.7456390789.

The spelling of 13780093 in words is "thirteen million, seven hundred eighty thousand, ninety-three".