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1141054420 = 2251110748473
BaseRepresentation
bin100010000000011…
…0001101111010100
32221112002120101211
41010000301233110
54314102220140
6305120431204
740163542162
oct10400615724
92845076354
101141054420
11536106090
1227a178504
1315252643c
14ab788232
156a2952ea
hex44031bd4

1141054420 has 48 divisors (see below), whose sum is σ = 2638536768. Its totient is φ = 411042560.

The previous prime is 1141054381. The next prime is 1141054427. The reversal of 1141054420 is 244501411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1141054391 and 1141054400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141054427) 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, 697 + ... + 47776.

It is an arithmetic number, because the mean of its divisors is an integer number (54969516).

Almost surely, 21141054420 is an apocalyptic number.

1141054420 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 1141054420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319268384).

1141054420 is an abundant number, since it is smaller than the sum of its proper divisors (1497482348).

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

1141054420 is a wasteful number, since it uses less digits than its factorization.

1141054420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48600 (or 48598 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1141054420 is about 33779.4970359240. The cubic root of 1141054420 is about 1044.9659016827.

Adding to 1141054420 its reverse (244501411), we get a palindrome (1385555831).

The spelling of 1141054420 in words is "one billion, one hundred forty-one million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 11770 23540 48473 96946 193892 242365 484730 533203 969460 1066406 2132812 2666015 5186611 5332030 10373222 10664060 20746444 25933055 51866110 57052721 103732220 114105442 228210884 285263605 570527210 1141054420