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10141184 = 2929683
BaseRepresentation
bin100110101011…
…111000000000
3201002020002102
4212223320000
510044004214
61001205532
7152125064
oct46537000
921066072
1010141184
1157a7249
1234908a8
132140c01
1414bdaa4
15d54bde
hex9abe00

10141184 has 40 divisors (see below), whose sum is σ = 20991960. Its totient is φ = 4888576.

The previous prime is 10141181. The next prime is 10141199. The reversal of 10141184 is 48114101.

It is a happy number.

It is a super-2 number, since 2×101411842 = 205687225843712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14507 + ... + 15189.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 210141184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495980).

10141184 is an abundant number, since it is smaller than the sum of its proper divisors (10850776).

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

10141184 is an frugal number, since it uses more digits than its factorization.

10141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10141184 is about 3184.5225701822. The cubic root of 10141184 is about 216.4526401962.

Adding to 10141184 its reverse (48114101), we get a palindrome (58255285).

The spelling of 10141184 in words is "ten million, one hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 683 928 1366 1856 2732 3712 5464 7424 10928 14848 19807 21856 39614 43712 79228 87424 158456 174848 316912 349696 633824 1267648 2535296 5070592 10141184