Search a number
-
+
11254402420 = 2254163121751
BaseRepresentation
bin10100111101101000…
…01000110101110100
31002001100010212202021
422132310020311310
5141022111334140
65100432522524
7545615561602
oct123664106564
932040125667
1011254402420
1148558a9128
1222210b0444
1310a484bb21
1478a9b4872
1545d092b4a
hex29ed08d74

11254402420 has 48 divisors (see below), whose sum is σ = 24250173696. Its totient is φ = 4384800000.

The previous prime is 11254402403. The next prime is 11254402421. The reversal of 11254402420 is 2420445211.

11254402420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254402421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506545 + ... + 528295.

It is an arithmetic number, because the mean of its divisors is an integer number (505211952).

Almost surely, 211254402420 is an apocalyptic number.

11254402420 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 11254402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125086848).

11254402420 is an abundant number, since it is smaller than the sum of its proper divisors (12995771276).

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

11254402420 is a wasteful number, since it uses less digits than its factorization.

11254402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22432 (or 22430 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 11254402420 its reverse (2420445211), we get a palindrome (13674847631).

The spelling of 11254402420 in words is "eleven billion, two hundred fifty-four million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 631 820 1262 2524 3155 6310 12620 21751 25871 43502 51742 87004 103484 108755 129355 217510 258710 435020 517420 891791 1783582 3567164 4458955 8917910 13724881 17835820 27449762 54899524 68624405 137248810 274497620 562720121 1125440242 2250880484 2813600605 5627201210 11254402420