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10142946 = 2321124657
BaseRepresentation
bin100110101100…
…010011100010
3201002022111200
4212230103202
510044033241
61001222030
7152133162
oct46542342
921068450
1010142946
1157a8600
123491916
132141958
1414c05a2
15d554b6
hex9ac4e2

10142946 has 36 divisors (see below), whose sum is σ = 24161046. Its totient is φ = 3072960.

The previous prime is 10142927. The next prime is 10142947. The reversal of 10142946 is 64924101.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 314721 = 3135^2 + 561^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10142947) 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 17 ways as a sum of consecutive naturals, for example, 151 + ... + 4506.

Almost surely, 210142946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080523).

10142946 is an abundant number, since it is smaller than the sum of its proper divisors (14018100).

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

10142946 is a wasteful number, since it uses less digits than its factorization.

10142946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10142946 is about 3184.7992087414. The cubic root of 10142946 is about 216.4651754671.

It can be divided in two parts, 101429 and 46, that added together give a triangular number (101475 = T450).

The spelling of 10142946 in words is "ten million, one hundred forty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 4657 9314 13971 27942 41913 51227 83826 102454 153681 307362 461043 563497 922086 1126994 1690491 3380982 5071473 10142946