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10406431 = 717157557
BaseRepresentation
bin100111101100…
…101000011111
3201120200221101
4213230220133
510131001211
61011013531
7154311310
oct47545037
921520841
1010406431
115968562
12359a2a7
132204869
14154c607
15da85c1
hex9eca1f

10406431 has 16 divisors (see below), whose sum is σ = 12695616. Its totient is φ = 8326656.

The previous prime is 10406423. The next prime is 10406443. The reversal of 10406431 is 13460401.

It is a happy number.

10406431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10406431 - 23 = 10406423 is a prime.

It is a super-2 number, since 2×104064312 = 216587612315522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10406399 and 10406408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18405 + ... + 18961.

It is an arithmetic number, because the mean of its divisors is an integer number (793476).

Almost surely, 210406431 is an apocalyptic number.

10406431 is a deficient number, since it is larger than the sum of its proper divisors (2289185).

10406431 is a wasteful number, since it uses less digits than its factorization.

10406431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10406431 is about 3225.9000294491. The cubic root of 10406431 is about 218.3235593136.

Adding to 10406431 its reverse (13460401), we get a palindrome (23866832).

The spelling of 10406431 in words is "ten million, four hundred six thousand, four hundred thirty-one".

Divisors: 1 7 17 119 157 557 1099 2669 3899 9469 18683 66283 87449 612143 1486633 10406431