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214020757 = 612113509
BaseRepresentation
bin11001100000110…
…11001010010101
3112220201101021201
430300123022111
5414242131012
633123112501
75206101136
oct1460331225
9486641251
10214020757
11aa899a65
125b812731
1335456002
14205d1c8d
1513bc8857
hexcc1b295

214020757 has 12 divisors (see below), whose sum is σ = 219943620. Its totient is φ = 208239360.

The previous prime is 214020749. The next prime is 214020799. The reversal of 214020757 is 757020412.

It can be written as a sum of positive squares in 6 ways, for example, as 101787921 + 112232836 = 10089^2 + 10594^2 .

It is not a de Polignac number, because 214020757 - 23 = 214020749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214020557) 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 11 ways as a sum of consecutive naturals, for example, 420219 + ... + 420727.

It is an arithmetic number, because the mean of its divisors is an integer number (18328635).

Almost surely, 2214020757 is an apocalyptic number.

It is an amenable number.

214020757 is a deficient number, since it is larger than the sum of its proper divisors (5922863).

214020757 is an equidigital number, since it uses as much as digits as its factorization.

214020757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 214020757 is about 14629.4482807794. The cubic root of 214020757 is about 598.1617413529.

The spelling of 214020757 in words is "two hundred fourteen million, twenty thousand, seven hundred fifty-seven".

Divisors: 1 61 113 509 3721 6893 31049 57517 420473 1893989 3508537 214020757