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1044031120 = 245117611559
BaseRepresentation
bin111110001110101…
…010011010010000
32200202112021110021
4332032222122100
54114232443440
6251333113224
734605055336
oct7616523220
92622467407
101044031120
11496368040
12251788814
131383b57c2
149c92db56
15619cc84a
hex3e3aa690

1044031120 has 80 divisors (see below), whose sum is σ = 2653223040. Its totient is φ = 378905600.

The previous prime is 1044031091. The next prime is 1044031139. The reversal of 1044031120 is 211304401.

1044031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1044031094 and 1044031103.

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, 668901 + ... + 670459.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 21044031120 is an apocalyptic number.

1044031120 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 1044031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326611520).

1044031120 is an abundant number, since it is smaller than the sum of its proper divisors (1609191920).

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

1044031120 is a wasteful number, since it uses less digits than its factorization.

1044031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1044031120 is about 32311.4704091287. The cubic root of 1044031120 is about 1014.4667440833.

Adding to 1044031120 its reverse (211304401), we get a palindrome (1255335521).

The spelling of 1044031120 in words is "one billion, forty-four million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 761 880 1522 1559 3044 3118 3805 6088 6236 7610 7795 8371 12176 12472 15220 15590 16742 17149 24944 30440 31180 33484 34298 41855 60880 62360 66968 68596 83710 85745 124720 133936 137192 167420 171490 274384 334840 342980 669680 685960 1186399 1371920 2372798 4745596 5931995 9491192 11863990 13050389 18982384 23727980 26100778 47455960 52201556 65251945 94911920 104403112 130503890 208806224 261007780 522015560 1044031120