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10084431 = 37292571
BaseRepresentation
bin100110011110…
…000001001111
3200222100020110
4212132001033
510040200211
61000051103
7151500450
oct46360117
920870213
1010084431
115768645
123463a93
132121126
1414a7127
15d42ea6
hex99e04f

10084431 has 24 divisors (see below), whose sum is σ = 15942784. Its totient is φ = 5554080.

The previous prime is 10084409. The next prime is 10084447. The reversal of 10084431 is 13448001.

10084431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10084431 - 213 = 10076239 is a prime.

It is a super-2 number, since 2×100844312 = 203391497187522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10084398 and 10084407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17376 + ... + 17946.

Almost surely, 210084431 is an apocalyptic number.

10084431 is a deficient number, since it is larger than the sum of its proper divisors (5858353).

10084431 is an equidigital number, since it uses as much as digits as its factorization.

10084431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10084431 is about 3175.5993135155. The cubic root of 10084431 is about 216.0481074260.

The spelling of 10084431 in words is "ten million, eighty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 571 609 841 1713 2523 3997 5887 11991 16559 17661 49677 115913 347739 480211 1440633 3361477 10084431