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10055241 = 32721512
BaseRepresentation
bin100110010110…
…111001001001
3200220212012100
4212112321021
510033231431
6555304013
7151316400
oct46267111
920825170
1010055241
115748719
12344b009
132110a61
14149a637
15d394e6
hex996e49

10055241 has 27 divisors (see below), whose sum is σ = 17008173. Its totient is φ = 5707800.

The previous prime is 10055219. The next prime is 10055263. The reversal of 10055241 is 14255001.

The square root of 10055241 is 3171.

It is a perfect power (a square), and thus also a powerful number.

10055241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10055219) and next prime (10055263).

It is not a de Polignac number, because 10055241 - 27 = 10055113 is a prime.

It is a super-2 number, since 2×100552412 = 202215743136162, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10055281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66516 + ... + 66666.

Almost surely, 210055241 is an apocalyptic number.

10055241 is the 3171-st square number.

10055241 is the 1586-th centered octagonal number.

It is an amenable number.

10055241 is a deficient number, since it is larger than the sum of its proper divisors (6952932).

10055241 is an equidigital number, since it uses as much as digits as its factorization.

10055241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The cubic root of 10055241 is about 215.8394511698.

It can be divided in two parts, 10055 and 241, that added together give a triangular number (10296 = T143).

The spelling of 10055241 in words is "ten million, fifty-five thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 151 441 453 1057 1359 3171 7399 9513 22197 22801 66591 68403 159607 205209 478821 1117249 1436463 3351747 10055241