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1120444020 = 223256224689
BaseRepresentation
bin100001011001000…
…1001111001110100
32220002022110020200
41002302021321310
54243313202040
6303103000500
736523421433
oct10262117164
92802273220
101120444020
115255091a3
12273299130
1314b18b237
14a8b4111a
1568573630
hex42c89e74

1120444020 has 36 divisors (see below), whose sum is σ = 3398680740. Its totient is φ = 298785024.

The previous prime is 1120443983. The next prime is 1120444033. The reversal of 1120444020 is 204440211.

1120444020 is a `hidden beast` number, since 1 + 1 + 204 + 440 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171557604 + 948886416 = 13098^2 + 30804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120443984 and 1120444002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3112165 + ... + 3112524.

Almost surely, 21120444020 is an apocalyptic number.

1120444020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120444020 is an abundant number, since it is smaller than the sum of its proper divisors (2278236720).

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

1120444020 is a wasteful number, since it uses less digits than its factorization.

1120444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224704 (or 6224699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1120444020 is about 33473.0342215940. The cubic root of 1120444020 is about 1038.6360386214.

Adding to 1120444020 its reverse (204440211), we get a palindrome (1324884231).

It can be divided in two parts, 1 and 120444020, that added together give a palindrome (120444021).

The spelling of 1120444020 in words is "one billion, one hundred twenty million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6224689 12449378 18674067 24898756 31123445 37348134 56022201 62246890 74696268 93370335 112044402 124493780 186740670 224088804 280111005 373481340 560222010 1120444020