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10497435 = 3513241101
BaseRepresentation
bin101000000010…
…110110011011
3201202022202220
4220002312123
510141404220
61012555123
7155140524
oct50026633
921668686
1010497435
115a1a973
123622aa3
132237100
14157384b
15dc5540
hexa02d9b

10497435 has 48 divisors (see below), whose sum is σ = 18815328. Its totient is φ = 4992000.

The previous prime is 10497433. The next prime is 10497503. The reversal of 10497435 is 53479401.

It is not a de Polignac number, because 10497435 - 21 = 10497433 is a prime.

It is a super-2 number, since 2×104974352 = 220392283158450, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10497396 and 10497405.

It is not an unprimeable number, because it can be changed into a prime (10497433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103885 + ... + 103985.

It is an arithmetic number, because the mean of its divisors is an integer number (391986).

Almost surely, 210497435 is an apocalyptic number.

10497435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10497435 is a deficient number, since it is larger than the sum of its proper divisors (8317893).

10497435 is a wasteful number, since it uses less digits than its factorization.

10497435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 10497435 is about 3239.9745369370. The cubic root of 10497435 is about 218.9581246429.

The spelling of 10497435 in words is "ten million, four hundred ninety-seven thousand, four hundred thirty-five".

Divisors: 1 3 5 13 15 39 41 65 101 123 169 195 205 303 505 507 533 615 845 1313 1515 1599 2535 2665 3939 4141 6565 6929 7995 12423 17069 19695 20705 20787 34645 51207 53833 62115 85345 103935 161499 256035 269165 699829 807495 2099487 3499145 10497435