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1244521040 = 245717314217
BaseRepresentation
bin100101000101101…
…1110001001010000
310012201210012220212
41022023132021100
510022044133130
6323254223252
742561153140
oct11213361120
93181705825
101244521040
11589555094
122a8954b28
1316aab1aa9
14bb3dc920
15743d1e95
hex4a2de250

1244521040 has 160 divisors (see below), whose sum is σ = 3615197184. Its totient is φ = 388546560.

The previous prime is 1244521027. The next prime is 1244521063. The reversal of 1244521040 is 401254421.

It is a junction number, because it is equal to n+sod(n) for n = 1244520997 and 1244521015.

It is a congruent number.

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, 293012 + ... + 297228.

Almost surely, 21244521040 is an apocalyptic number.

1244521040 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 1244521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807598592).

1244521040 is an abundant number, since it is smaller than the sum of its proper divisors (2370676144).

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

1244521040 is a wasteful number, since it uses less digits than its factorization.

1244521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1244521040 is about 35277.7697707777. The cubic root of 1244521040 is about 1075.6411650154.

Adding to 1244521040 its reverse (401254421), we get a palindrome (1645775461).

The spelling of 1244521040 in words is "one billion, two hundred forty-four million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 31 34 35 40 56 62 68 70 80 85 112 119 124 136 140 155 170 217 238 248 272 280 310 340 434 476 496 527 560 595 620 680 868 952 1054 1085 1190 1240 1360 1736 1904 2108 2170 2380 2480 2635 3472 3689 4216 4217 4340 4760 5270 7378 8432 8434 8680 9520 10540 14756 16868 17360 18445 21080 21085 29512 29519 33736 36890 42160 42170 59024 59038 67472 71689 73780 84340 118076 130727 143378 147560 147595 168680 236152 261454 286756 295120 295190 337360 358445 472304 501823 522908 573512 590380 653635 716890 915089 1003646 1045816 1147024 1180760 1307270 1433780 1830178 2007292 2091632 2222359 2361520 2509115 2614540 2867560 3660356 4014584 4444718 4575445 5018230 5229080 5735120 7320712 8029168 8889436 9150890 10036460 10458160 11111795 14641424 15556513 17778872 18301780 20072920 22223590 31113026 35557744 36603560 40145840 44447180 62226052 73207120 77782565 88894360 124452104 155565130 177788720 248904208 311130260 622260520 1244521040