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123427407 = 3235333751
BaseRepresentation
bin1110101101101…
…01101001001111
322121020202120110
413112311221033
5223044134112
620125251103
73026054445
oct726655117
9277222513
10123427407
1163742924
1235403a93
131c756c8c
141256cb95
15ac8113c
hex75b5a4f

123427407 has 16 divisors (see below), whose sum is σ = 174970368. Its totient is φ = 77220000.

The previous prime is 123427397. The next prime is 123427417. The reversal of 123427407 is 704724321.

It is an interprime number because it is at equal distance from previous prime (123427397) and next prime (123427417).

It is not a de Polignac number, because 123427407 - 215 = 123394639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123427417) 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, 13219 + ... + 20532.

It is an arithmetic number, because the mean of its divisors is an integer number (10935648).

Almost surely, 2123427407 is an apocalyptic number.

123427407 is a deficient number, since it is larger than the sum of its proper divisors (51542961).

123427407 is a wasteful number, since it uses less digits than its factorization.

123427407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33830.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 123427407 is about 11109.7887918718. The cubic root of 123427407 is about 497.8943542935.

The spelling of 123427407 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, four hundred seven".

Divisors: 1 3 23 53 69 159 1219 3657 33751 101253 776273 1788803 2328819 5366409 41142469 123427407