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10054543240 = 2357217373809
BaseRepresentation
bin10010101110100110…
…00010011110001000
3221221201101201101101
421113103002132020
5131042430340430
64341411431144
7504106131100
oct112723023610
927851351341
1010054543240
11429a589175
121b472b54b4
13c430a6791
146b54c0200
153dca83dca
hex2574c2788

10054543240 has 192 divisors, whose sum is σ = 27973479600. Its totient is φ = 3231793152.

The previous prime is 10054543217. The next prime is 10054543259. The reversal of 10054543240 is 4234545001.

It can be written as a sum of positive squares in 8 ways, for example, as 7985567044 + 2068976196 = 89362^2 + 45486^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10054543199 and 10054543208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12427956 + ... + 12428764.

Almost surely, 210054543240 is an apocalyptic number.

10054543240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986739800).

10054543240 is an abundant number, since it is smaller than the sum of its proper divisors (17918936360).

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

10054543240 is a wasteful number, since it uses less digits than its factorization.

10054543240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 10054543240 in words is "ten billion, fifty-four million, five hundred forty-three thousand, two hundred forty".