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10147293 = 321386729
BaseRepresentation
bin100110101101…
…010111011101
3201002112110200
4212231113131
510044203133
61001254113
7152151642
oct46552735
921075420
1010147293
1158008a2
123494339
132143920
1414c1dc9
15d56913
hex9ad5dd

10147293 has 12 divisors (see below), whose sum is σ = 15784860. Its totient is φ = 6244416.

The previous prime is 10147279. The next prime is 10147297. The reversal of 10147293 is 39274101.

10147293 is a `hidden beast` number, since 101 + 472 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3583449 + 6563844 = 1893^2 + 2562^2 .

It is not a de Polignac number, because 10147293 - 26 = 10147229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10147297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43248 + ... + 43481.

It is an arithmetic number, because the mean of its divisors is an integer number (1315405).

Almost surely, 210147293 is an apocalyptic number.

10147293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10147293 is a deficient number, since it is larger than the sum of its proper divisors (5637567).

10147293 is a wasteful number, since it uses less digits than its factorization.

10147293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86748 (or 86745 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10147293 is about 3185.4815962426. The cubic root of 10147293 is about 216.4960948116.

It can be divided in two parts, 10147 and 293, that added together give a triangular number (10440 = T144).

The spelling of 10147293 in words is "ten million, one hundred forty-seven thousand, two hundred ninety-three".

Divisors: 1 3 9 13 39 117 86729 260187 780561 1127477 3382431 10147293