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10642261 = 73192371
BaseRepresentation
bin101000100110…
…001101010101
3202000200102211
4220212031111
510211023021
61020033421
7156313000
oct50461525
922020384
1010642261
116009763
123692871
132287cc6
1415b0537
15e033e1
hexa26355

10642261 has 32 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 8149680.

The previous prime is 10642259. The next prime is 10642267. The reversal of 10642261 is 16224601.

It is not a de Polignac number, because 10642261 - 21 = 10642259 is a prime.

It is a super-2 number, since 2×106422612 = 226515438384242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642267) 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 31 ways as a sum of consecutive naturals, for example, 149856 + ... + 149926.

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

Almost surely, 210642261 is an apocalyptic number.

It is an amenable number.

10642261 is a deficient number, since it is larger than the sum of its proper divisors (3181739).

10642261 is an equidigital number, since it uses as much as digits as its factorization.

10642261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10642261 is about 3262.2478446617. The cubic root of 10642261 is about 219.9604681035.

Adding to 10642261 its reverse (16224601), we get a palindrome (26866862).

The spelling of 10642261 in words is "ten million, six hundred forty-two thousand, two hundred sixty-one".

Divisors: 1 7 19 23 49 71 133 161 343 437 497 931 1127 1349 1633 3059 3479 6517 7889 9443 11431 21413 24353 31027 66101 80017 149891 217189 462707 560119 1520323 10642261