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123057005 = 5293722937
BaseRepresentation
bin1110101010110…
…11001101101101
322120112221110212
413111123031231
5223000311010
620113312205
73022652531
oct725331555
9276487425
10123057005
116350a605
1235265665
131c6574c6
14124b3bc1
15ac0b505
hex755b36d

123057005 has 16 divisors (see below), whose sum is σ = 156895920. Its totient is φ = 92477952.

The previous prime is 123057001. The next prime is 123057019. The reversal of 123057005 is 500750321.

123057005 = 14282 + 14292 + ... + 14852.

It can be written as a sum of positive squares in 8 ways, for example, as 157609 + 122899396 = 397^2 + 11086^2 .

It is a cyclic number.

It is not a de Polignac number, because 123057005 - 22 = 123057001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123057001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6104 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (9805995).

Almost surely, 2123057005 is an apocalyptic number.

It is an amenable number.

123057005 is a deficient number, since it is larger than the sum of its proper divisors (33838915).

123057005 is a wasteful number, since it uses less digits than its factorization.

123057005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23008.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 123057005 is about 11093.1061925865. The cubic root of 123057005 is about 497.3957998314.

The spelling of 123057005 in words is "one hundred twenty-three million, fifty-seven thousand, five".

Divisors: 1 5 29 37 145 185 1073 5365 22937 114685 665173 848669 3325865 4243345 24611401 123057005