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10141104 = 243415153
BaseRepresentation
bin100110101011…
…110110110000
3201002012222110
4212223312300
510044003404
61001205320
7152124621
oct46536660
921065873
1010141104
1157a7186
123490840
132140b6c
1414bda48
15d54b89
hex9abdb0

10141104 has 40 divisors (see below), whose sum is σ = 26842032. Its totient is φ = 3297280.

The previous prime is 10141069. The next prime is 10141111. The reversal of 10141104 is 40114101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10141104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 609 + ... + 4544.

Almost surely, 210141104 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 10141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421016).

10141104 is an abundant number, since it is smaller than the sum of its proper divisors (16700928).

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

10141104 is a wasteful number, since it uses less digits than its factorization.

10141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10141104 is about 3184.5100094049. The cubic root of 10141104 is about 216.4520710235.

Adding to 10141104 its reverse (40114101), we get a palindrome (50255205).

The spelling of 10141104 in words is "ten million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 5153 10306 15459 20612 30918 41224 61836 82448 123672 211273 247344 422546 633819 845092 1267638 1690184 2535276 3380368 5070552 10141104