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10759149 = 34196991
BaseRepresentation
bin101001000010…
…101111101101
3202020121210000
4221002233231
510223243044
61022334513
7160310532
oct51025755
922217700
1010759149
116089565
12372a439
1322c927b
141600d89
15e27d69
hexa42bed

10759149 has 20 divisors (see below), whose sum is σ = 16920640. Its totient is φ = 6794280.

The previous prime is 10759129. The next prime is 10759157. The reversal of 10759149 is 94195701.

It is not a de Polignac number, because 10759149 - 25 = 10759117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10759109) 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 19 ways as a sum of consecutive naturals, for example, 1957 + ... + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (846032).

Almost surely, 210759149 is an apocalyptic number.

10759149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10759149 is a deficient number, since it is larger than the sum of its proper divisors (6161491).

10759149 is an equidigital number, since it uses as much as digits as its factorization.

10759149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 10759149 is about 3280.1141748421. The cubic root of 10759149 is about 220.7628408048.

The spelling of 10759149 in words is "ten million, seven hundred fifty-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 19 27 57 81 171 513 1539 6991 20973 62919 132829 188757 398487 566271 1195461 3586383 10759149