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10974385 = 537137433
BaseRepresentation
bin101001110111…
…010010110001
3202122120000201
4221313102301
510302140020
61031115201
7162165202
oct51672261
922576021
1010974385
116216244
123812b01
132373226
1416595a9
15e6ba0a
hexa774b1

10974385 has 16 divisors (see below), whose sum is σ = 13655376. Its totient is φ = 8460288.

The previous prime is 10974377. The next prime is 10974391. The reversal of 10974385 is 58347901.

It can be written as a sum of positive squares in 8 ways, for example, as 5041 + 10969344 = 71^2 + 3312^2 .

It is a 3-Lehmer number, since φ(10974385) divides (10974385-1)3.

It is a cyclic number.

It is not a de Polignac number, because 10974385 - 23 = 10974377 is a prime.

It is a super-2 number, since 2×109743852 = 240874252256450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25129 + ... + 25561.

It is an arithmetic number, because the mean of its divisors is an integer number (853461).

It is a Poulet number, since it divides 210974384-1.

Almost surely, 210974385 is an apocalyptic number.

It is an amenable number.

10974385 is a deficient number, since it is larger than the sum of its proper divisors (2680991).

10974385 is a wasteful number, since it uses less digits than its factorization.

10974385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 10974385 is about 3312.7609331191. The cubic root of 10974385 is about 222.2252468570.

The spelling of 10974385 in words is "ten million, nine hundred seventy-four thousand, three hundred eighty-five".

Divisors: 1 5 37 137 185 433 685 2165 5069 16021 25345 59321 80105 296605 2194877 10974385