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10042506 = 232673829
BaseRepresentation
bin100110010011…
…110010001010
3200220012201200
4212103302022
510032330011
6555125030
7151234305
oct46236212
920805650
1010042506
11573a0a1
123443776
132108016
141495b3c
15d35856
hex993c8a

10042506 has 24 divisors (see below), whose sum is σ = 21817380. Its totient is φ = 3338496.

The previous prime is 10042489. The next prime is 10042523. The reversal of 10042506 is 60524001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10042489) and next prime (10042523).

It can be written as a sum of positive squares in 2 ways, for example, as 10017225 + 25281 = 3165^2 + 159^2 .

It is a super-4 number, since 4×100425064 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11700 + ... + 12528.

Almost surely, 210042506 is an apocalyptic number.

10042506 is an abundant number, since it is smaller than the sum of its proper divisors (11774874).

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

10042506 is a wasteful number, since it uses less digits than its factorization.

10042506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10042506 is about 3168.9913221718. The cubic root of 10042506 is about 215.7482921863.

Adding to 10042506 its reverse (60524001), we get a palindrome (70566507).

The spelling of 10042506 in words is "ten million, forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 673 829 1346 1658 2019 2487 4038 4974 6057 7461 12114 14922 557917 1115834 1673751 3347502 5021253 10042506