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10042140 = 2235315399
BaseRepresentation
bin100110010011…
…101100011100
3200220012020010
4212103230130
510032322030
6555123220
7151233243
oct46235434
920805203
1010042140
115739899
123443510
132107ac4
14149595a
15d356b0
hex993b1c

10042140 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2591040.

The previous prime is 10042103. The next prime is 10042141. The reversal of 10042140 is 4124001.

10042140 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 is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042141) 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, 840 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 210042140 is an apocalyptic number.

10042140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042140 is an abundant number, since it is smaller than the sum of its proper divisors (18988260).

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

10042140 is a wasteful number, since it uses less digits than its factorization.

10042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10042140 is about 3168.9335745642. The cubic root of 10042140 is about 215.7456711660.

Adding to 10042140 its reverse (4124001), we get a palindrome (14166141).

The spelling of 10042140 in words is "ten million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 5399 10798 16197 21596 26995 32394 53990 64788 80985 107980 161970 167369 323940 334738 502107 669476 836845 1004214 1673690 2008428 2510535 3347380 5021070 10042140