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10412142 = 23131311019
BaseRepresentation
bin100111101110…
…000001101110
3201120222202220
4213232001232
510131142032
61011100210
7154334046
oct47560156
921528686
1010412142
115971884
1235a1666
132207340
141550726
15daa12c
hex9ee06e

10412142 has 32 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 3176160.

The previous prime is 10412141. The next prime is 10412147. The reversal of 10412142 is 24121401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412141) 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 15 ways as a sum of consecutive naturals, for example, 9709 + ... + 10727.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 210412142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

10412142 is an abundant number, since it is smaller than the sum of its proper divisors (12207378).

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

10412142 is a wasteful number, since it uses less digits than its factorization.

10412142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10412142 is about 3226.7850873586. The cubic root of 10412142 is about 218.3634903213.

Adding to 10412142 its reverse (24121401), we get a palindrome (34533543).

It can be divided in two parts, 104 and 12142, that added together give a triangular number (12246 = T156).

The spelling of 10412142 in words is "ten million, four hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1019 1703 2038 3057 3406 5109 6114 10218 13247 26494 39741 79482 133489 266978 400467 800934 1735357 3470714 5206071 10412142