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1124442020 = 225138948593
BaseRepresentation
bin100001100000101…
…1001111110100100
32220100211120110202
41003001121332210
54300324121040
6303324410032
736602412422
oct10301317644
92810746422
101124442020
11527799a29
122746a6918
1314bc5ac10
14a94a2112
1568ab3015
hex43059fa4

1124442020 has 48 divisors (see below), whose sum is σ = 2571594480. Its totient is φ = 410505216.

The previous prime is 1124442019. The next prime is 1124442031. The reversal of 1124442020 is 202444211.

It can be written as a sum of positive squares in 8 ways, for example, as 152374336 + 972067684 = 12344^2 + 31178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1124441983 and 1124442001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157 + ... + 47436.

It is an arithmetic number, because the mean of its divisors is an integer number (53574885).

Almost surely, 21124442020 is an apocalyptic number.

1124442020 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 1124442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285797240).

1124442020 is an abundant number, since it is smaller than the sum of its proper divisors (1447152460).

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

1124442020 is a wasteful number, since it uses less digits than its factorization.

1124442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48704 (or 48702 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1124442020 is about 33532.7007561276. The cubic root of 1124442020 is about 1039.8699356577.

Adding to 1124442020 its reverse (202444211), we get a palindrome (1326886231).

The spelling of 1124442020 in words is "one billion, one hundred twenty-four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 11570 23140 48593 97186 194372 242965 485930 631709 971860 1263418 2526836 3158545 4324777 6317090 8649554 12634180 17299108 21623885 43247770 56222101 86495540 112444202 224888404 281110505 562221010 1124442020