Search a number
-
+
10054341240 = 2335711180087
BaseRepresentation
bin10010101110100100…
…10001001001111000
3221221201000110021220
421113102101021320
5131042402404430
64341403232040
7504104330136
oct112722211170
927851013256
1010054341240
11429a460429
121b47218620
13c43035858
146b546a756
153dca44110
hex257491278

10054341240 has 64 divisors (see below), whose sum is σ = 30587880960. Its totient is φ = 2643392640.

The previous prime is 10054341211. The next prime is 10054341247. The reversal of 10054341240 is 4214345001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10054341240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054341247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581524 + ... + 598563.

It is an arithmetic number, because the mean of its divisors is an integer number (477935640).

Almost surely, 210054341240 is an apocalyptic number.

10054341240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054341240 is an abundant number, since it is smaller than the sum of its proper divisors (20533539720).

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

10054341240 is a wasteful number, since it uses less digits than its factorization.

10054341240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180172 (or 1180168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10054341240 its reverse (4214345001), we get a palindrome (14268686241).

The spelling of 10054341240 in words is "ten billion, fifty-four million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 1180087 2360174 3540261 4720348 5900435 7080522 9440696 11800870 14161044 17701305 23601740 28322088 35402610 47203480 70805220 83786177 141610440 167572354 251358531 335144708 418930885 502717062 670289416 837861770 1005434124 1256792655 1675723540 2010868248 2513585310 3351447080 5027170620 10054341240