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10142118 = 233723833
BaseRepresentation
bin100110101100…
…000110100110
3201002021101000
4212230012212
510044021433
61001214130
7152130600
oct46540646
921067330
1010142118
1157a7a18
123491346
13214146c
1414c0170
15d55113
hex9ac1a6

10142118 has 48 divisors (see below), whose sum is σ = 26224560. Its totient is φ = 2896992.

The previous prime is 10142113. The next prime is 10142131. The reversal of 10142118 is 81124101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10142118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 730 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (546345).

Almost surely, 210142118 is an apocalyptic number.

10142118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112280).

10142118 is an abundant number, since it is smaller than the sum of its proper divisors (16082442).

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

10142118 is a wasteful number, since it uses less digits than its factorization.

10142118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10142118 is about 3184.6692135919. The cubic root of 10142118 is about 216.4592850666.

Adding to 10142118 its reverse (81124101), we get a palindrome (91266219).

The spelling of 10142118 in words is "ten million, one hundred forty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3833 7666 11499 22998 26831 34497 53662 68994 80493 103491 160986 187817 206982 241479 375634 482958 563451 724437 1126902 1448874 1690353 3380706 5071059 10142118