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10274641 = 133741521
BaseRepresentation
bin100111001100…
…011101010001
3201100000011021
4213030131101
510112242031
61004115441
7153222136
oct47143521
921300137
1010274641
115888543
123535b81
132189890
14151658d
15d7e511
hex9cc751

10274641 has 16 divisors (see below), whose sum is σ = 11663568. Its totient is φ = 8985600.

The previous prime is 10274617. The next prime is 10274683. The reversal of 10274641 is 14647201.

10274641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1274641 + 9000000 = 1129^2 + 3000^2 .

It is not a de Polignac number, because 10274641 - 27 = 10274513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10274441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19461 + ... + 19981.

It is an arithmetic number, because the mean of its divisors is an integer number (728973).

Almost surely, 210274641 is an apocalyptic number.

It is an amenable number.

10274641 is a deficient number, since it is larger than the sum of its proper divisors (1388927).

10274641 is a wasteful number, since it uses less digits than its factorization.

10274641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10274641 is about 3205.4080863441. The cubic root of 10274641 is about 217.3980038788.

The spelling of 10274641 in words is "ten million, two hundred seventy-four thousand, six hundred forty-one".

Divisors: 1 13 37 41 481 521 533 1517 6773 19277 19721 21361 250601 277693 790357 10274641