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10123407 = 337291847
BaseRepresentation
bin100110100111…
…100010001111
3201001022201000
4212213202033
510042422112
61000551343
7152022210
oct46474217
921038630
1010123407
115794958
123482553
132135aa8
1414b7407
15d4e7dc
hex9a788f

10123407 has 32 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 5582304.

The previous prime is 10123387. The next prime is 10123411. The reversal of 10123407 is 70432101.

It is not a de Polignac number, because 10123407 - 211 = 10121359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10123407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123417) 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 31 ways as a sum of consecutive naturals, for example, 4558 + ... + 6404.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 210123407 is an apocalyptic number.

10123407 is a deficient number, since it is larger than the sum of its proper divisors (7617393).

10123407 is a wasteful number, since it uses less digits than its factorization.

10123407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10123407 is about 3181.7301896924. The cubic root of 10123407 is about 216.3260892544.

Adding to 10123407 its reverse (70432101), we get a palindrome (80555508).

The spelling of 10123407 in words is "ten million, one hundred twenty-three thousand, four hundred seven".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 1847 5481 5541 12929 16623 38787 49869 53563 116361 160689 349083 374941 482067 1124823 1446201 3374469 10123407