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10144242 = 23223107229
BaseRepresentation
bin100110101100…
…100111110010
3201002101021200
4212230213302
510044103432
61001232030
7152140023
oct46544762
921071250
1010144242
1157a9579
123492616
132142414
1414c0c4a
15d55a7c
hex9ac9f2

10144242 has 48 divisors (see below), whose sum is σ = 23250240. Its totient is φ = 3190176.

The previous prime is 10144231. The next prime is 10144249. The reversal of 10144242 is 24244101.

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

It is not an unprimeable number, because it can be changed into a prime (10144249) 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 23 ways as a sum of consecutive naturals, for example, 44184 + ... + 44412.

It is an arithmetic number, because the mean of its divisors is an integer number (484380).

Almost surely, 210144242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625120).

10144242 is an abundant number, since it is smaller than the sum of its proper divisors (13105998).

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

10144242 is a wasteful number, since it uses less digits than its factorization.

10144242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10144242 is about 3185.0026687587. The cubic root of 10144242 is about 216.4743945809.

Adding to 10144242 its reverse (24244101), we get a palindrome (34388343).

The spelling of 10144242 in words is "ten million, one hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 107 138 207 214 229 321 414 458 642 687 963 1374 1926 2061 2461 4122 4922 5267 7383 10534 14766 15801 22149 24503 31602 44298 47403 49006 73509 94806 147018 220527 441054 563569 1127138 1690707 3381414 5072121 10144242