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10241937 = 331392729
BaseRepresentation
bin100111000100…
…011110010001
3201021100022000
4213010132101
510110220222
61003304213
7153024606
oct47043621
921240260
1010241937
115865a12
12351b069
132177a24
1415086ad
15d749ac
hex9c4791

10241937 has 16 divisors (see below), whose sum is σ = 15288000. Its totient is φ = 6776352.

The previous prime is 10241929. The next prime is 10241947. The reversal of 10241937 is 73914201.

It is not a de Polignac number, because 10241937 - 23 = 10241929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10241937.

It is not an unprimeable number, because it can be changed into a prime (10241927) 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 15 ways as a sum of consecutive naturals, for example, 2389 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 210241937 is an apocalyptic number.

It is an amenable number.

10241937 is a deficient number, since it is larger than the sum of its proper divisors (5046063).

10241937 is a wasteful number, since it uses less digits than its factorization.

10241937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

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

The square root of 10241937 is about 3200.3026419387. The cubic root of 10241937 is about 217.1671007220.

The spelling of 10241937 in words is "ten million, two hundred forty-one thousand, nine hundred thirty-seven".

Divisors: 1 3 9 27 139 417 1251 2729 3753 8187 24561 73683 379331 1137993 3413979 10241937