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1244024040 = 233571579433
BaseRepresentation
bin100101000100110…
…0100110011101000
310012200211222011110
41022021210303220
510021432232130
6323235430320
742554013150
oct11211446350
93180758143
101244024040
11589245746
122a87553a0
1316a9697cc
14bb30d760
1574334ab0
hex4a264ce8

1244024040 has 128 divisors (see below), whose sum is σ = 4292847360. Its totient is φ = 282507264.

The previous prime is 1244023999. The next prime is 1244024081. The reversal of 1244024040 is 404204421.

It is an interprime number because it is at equal distance from previous prime (1244023999) and next prime (1244024081).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1244023998 and 1244024016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127164 + ... + 136596.

It is an arithmetic number, because the mean of its divisors is an integer number (33537870).

Almost surely, 21244024040 is an apocalyptic number.

1244024040 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 1244024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146423680).

1244024040 is an abundant number, since it is smaller than the sum of its proper divisors (3048823320).

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

1244024040 is a wasteful number, since it uses less digits than its factorization.

1244024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1244024040 is about 35270.7249712846. The cubic root of 1244024040 is about 1075.4979600337.

Adding to 1244024040 its reverse (404204421), we get a palindrome (1648228461).

The spelling of 1244024040 in words is "one billion, two hundred forty-four million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 157 168 210 280 314 420 471 628 785 840 942 1099 1256 1570 1884 2198 2355 3140 3297 3768 4396 4710 5495 6280 6594 8792 9420 9433 10990 13188 16485 18840 18866 21980 26376 28299 32970 37732 43960 47165 56598 65940 66031 75464 94330 113196 131880 132062 141495 188660 198093 226392 264124 282990 330155 377320 396186 528248 565980 660310 792372 990465 1131960 1320620 1480981 1584744 1980930 2641240 2961962 3961860 4442943 5923924 7404905 7923720 8885886 10366867 11847848 14809810 17771772 20733734 22214715 29619620 31100601 35543544 41467468 44429430 51834335 59239240 62201202 82934936 88858860 103668670 124402404 155503005 177717720 207337340 248804808 311006010 414674680 622012020 1244024040