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10274112 = 263217837
BaseRepresentation
bin100111001100…
…010101000000
3201022222102200
4213030111000
510112232422
61004113200
7153220452
oct47142500
921288380
1010274112
115888102
123535800
132189574
1415162d2
15d7e2ac
hex9cc540

10274112 has 42 divisors (see below), whose sum is σ = 29450538. Its totient is φ = 3424512.

The previous prime is 10274111. The next prime is 10274129. The reversal of 10274112 is 21147201.

It can be written as a sum of positive squares in only one way, i.e., 9884736 + 389376 = 3144^2 + 624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8343 + ... + 9494.

Almost surely, 210274112 is an apocalyptic number.

10274112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10274112 is an abundant number, since it is smaller than the sum of its proper divisors (19176426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10274112 is a wasteful number, since it uses less digits than its factorization.

10274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17855 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10274112 is about 3205.3255684875. The cubic root of 10274112 is about 217.3942728313.

The spelling of 10274112 in words is "ten million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17837 35674 53511 71348 107022 142696 160533 214044 285392 321066 428088 570784 642132 856176 1141568 1284264 1712352 2568528 3424704 5137056 10274112