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10097269 = 7131761107
BaseRepresentation
bin100110100001…
…001001110101
3200222222211221
4212201021311
510041103034
61000230341
7151553050
oct46411165
920888757
1010097269
115777256
12346b3b1
132126c20
1414aba97
15d46bb4
hex9a1275

10097269 has 32 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 7326720.

The previous prime is 10097267. The next prime is 10097279. The reversal of 10097269 is 96279001.

It is a cyclic number.

It is not a de Polignac number, because 10097269 - 21 = 10097267 is a prime.

It is a super-2 number, since 2×100972692 = 203909682516722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097261) 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, 94314 + ... + 94420.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 210097269 is an apocalyptic number.

It is an amenable number.

10097269 is a deficient number, since it is larger than the sum of its proper divisors (3401867).

10097269 is a wasteful number, since it uses less digits than its factorization.

10097269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 10097269 is about 3177.6200213367. The cubic root of 10097269 is about 216.1397486713.

The spelling of 10097269 in words is "ten million, ninety-seven thousand, two hundred sixty-nine".

Divisors: 1 7 13 17 61 91 107 119 221 427 749 793 1037 1391 1547 1819 5551 6527 7259 9737 12733 13481 23647 45689 84851 94367 110959 165529 593957 776713 1442467 10097269