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10374084 = 2232725881
BaseRepresentation
bin100111100100…
…101111000100
3201112001120100
4213210233010
510123432314
61010204100
7154115100
oct47445704
921461510
1010374084
115946226
123583630
1321c2c16
141540900
15d9dc09
hex9e4bc4

10374084 has 54 divisors (see below), whose sum is σ = 30509934. Its totient is φ = 2963520.

The previous prime is 10374071. The next prime is 10374101. The reversal of 10374084 is 48047301.

10374084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 451584 = 3150^2 + 672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1177 + ... + 4704.

Almost surely, 210374084 is an apocalyptic number.

10374084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10374084 is an abundant number, since it is smaller than the sum of its proper divisors (20135850).

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

10374084 is a wasteful number, since it uses less digits than its factorization.

10374084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10374084 is about 3220.8824877664. The cubic root of 10374084 is about 218.0971146582.

The spelling of 10374084 in words is "ten million, three hundred seventy-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5881 11762 17643 23524 35286 41167 52929 70572 82334 105858 123501 164668 211716 247002 288169 370503 494004 576338 741006 864507 1152676 1482012 1729014 2593521 3458028 5187042 10374084