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10707431 = 73193153
BaseRepresentation
bin101000110110…
…000111100111
3202010222211112
4220312013213
510220114211
61021255235
7160004000
oct50660747
922128745
1010707431
116053719
12370451b
1322ab877
1415ca1a7
15e1788b
hexa361e7

10707431 has 32 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 8255520.

The previous prime is 10707427. The next prime is 10707449. The reversal of 10707431 is 13470701.

It is not a de Polignac number, because 10707431 - 22 = 10707427 is a prime.

It is a super-2 number, since 2×107074312 = 229298157239522, 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 = 10707397 and 10707406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10707401) 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, 202001 + ... + 202053.

It is an arithmetic number, because the mean of its divisors is an integer number (432000).

Almost surely, 210707431 is an apocalyptic number.

10707431 is a deficient number, since it is larger than the sum of its proper divisors (3116569).

10707431 is an equidigital number, since it uses as much as digits as its factorization.

10707431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 10707431 is about 3272.2211111109. The cubic root of 10707431 is about 220.4085452598.

The spelling of 10707431 in words is "ten million, seven hundred seven thousand, four hundred thirty-one".

Divisors: 1 7 19 31 49 53 133 217 343 371 589 931 1007 1519 1643 2597 4123 6517 7049 10633 11501 18179 28861 31217 49343 80507 202027 218519 345401 563549 1529633 10707431