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10075674 = 237243797
BaseRepresentation
bin100110011011…
…111000011010
3200221220020010
4212123320122
510034410144
6555542350
7151433100
oct46337032
920856203
1010075674
115762004
12345a9b6
13211a14b
1414a3c70
15d405b9
hex99be1a

10075674 has 48 divisors (see below), whose sum is σ = 24016608. Its totient is φ = 2808288.

The previous prime is 10075669. The next prime is 10075687. The reversal of 10075674 is 47657001.

It is a happy number.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 12244 + ... + 13040.

It is an arithmetic number, because the mean of its divisors is an integer number (500346).

Almost surely, 210075674 is an apocalyptic number.

10075674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008304).

10075674 is an abundant number, since it is smaller than the sum of its proper divisors (13940934).

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

10075674 is a wasteful number, since it uses less digits than its factorization.

10075674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10075674 is about 3174.2202192035. The cubic root of 10075674 is about 215.9855528746.

The spelling of 10075674 in words is "ten million, seventy-five thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 797 903 1594 1806 2107 2391 4214 4782 5579 6321 11158 12642 16737 33474 34271 39053 68542 78106 102813 117159 205626 234318 239897 479794 719691 1439382 1679279 3358558 5037837 10075674