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10042074 = 232779699
BaseRepresentation
bin100110010011…
…101011011010
3200220012010200
4212103223122
510032321244
6555123030
7151233120
oct46235332
920805120
1010042074
115739839
123443476
132107a73
141495910
15d35669
hex993ada

10042074 has 24 divisors (see below), whose sum is σ = 24866400. Its totient is φ = 2869128.

The previous prime is 10042073. The next prime is 10042093. The reversal of 10042074 is 47024001.

It is a happy number.

It is a super-4 number, since 4×100420744 (a number of 29 digits) contains 4444 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10042073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39724 + ... + 39975.

It is an arithmetic number, because the mean of its divisors is an integer number (1036100).

Almost surely, 210042074 is an apocalyptic number.

10042074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10042074 is an abundant number, since it is smaller than the sum of its proper divisors (14824326).

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

10042074 is a wasteful number, since it uses less digits than its factorization.

10042074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79714 (or 79711 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10042074 is about 3168.9231609492. The cubic root of 10042074 is about 215.7451985163.

Adding to 10042074 its reverse (47024001), we get a palindrome (57066075).

The spelling of 10042074 in words is "ten million, forty-two thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 79699 159398 239097 478194 557893 717291 1115786 1434582 1673679 3347358 5021037 10042074