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1244541040 = 245192397367
BaseRepresentation
bin100101000101110…
…0011000001110000
310012201211020100121
41022023203001300
510022100303130
6323254500024
742561265351
oct11213430160
93181736317
101244541040
11589569116
122a8964614
1316aabac22
14bb405d28
15743d7d7a
hex4a2e3070

1244541040 has 160 divisors (see below), whose sum is σ = 3219793920. Its totient is φ = 445243392.

The previous prime is 1244541031. The next prime is 1244541043. The reversal of 1244541040 is 401454421.

It is a junction number, because it is equal to n+sod(n) for n = 1244540996 and 1244541014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244541043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3390937 + ... + 3391303.

It is an arithmetic number, because the mean of its divisors is an integer number (20123712).

Almost surely, 21244541040 is an apocalyptic number.

1244541040 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 1244541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609896960).

1244541040 is an abundant number, since it is smaller than the sum of its proper divisors (1975252880).

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

1244541040 is a wasteful number, since it uses less digits than its factorization.

1244541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 1244541040 is about 35278.0532342702. The cubic root of 1244541040 is about 1075.6469269933.

Adding to 1244541040 its reverse (401454421), we get a palindrome (1645995461).

The spelling of 1244541040 in words is "one billion, two hundred forty-four million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 97 115 152 184 190 194 230 304 367 368 380 388 437 460 485 734 760 776 874 920 970 1468 1520 1552 1748 1835 1840 1843 1940 2185 2231 2936 3496 3670 3686 3880 4370 4462 5872 6973 6992 7340 7372 7760 8441 8740 8924 9215 11155 13946 14680 14744 16882 17480 17848 18430 22310 27892 29360 29488 33764 34865 34960 35599 35696 36860 42205 42389 44620 55784 67528 69730 71198 73720 84410 84778 89240 111568 135056 139460 142396 147440 160379 168820 169556 177995 178480 211945 278920 284792 320758 337640 339112 355990 423890 557840 569584 641516 675280 676381 678224 711980 801895 818777 847780 1283032 1352762 1423960 1603790 1637554 1695560 2566064 2705524 2847920 3207580 3275108 3381905 3391120 4093885 5411048 6415160 6550216 6763810 8187770 10822096 12830320 13100432 13527620 15556763 16375540 27055240 31113526 32751080 54110480 62227052 65502160 77783815 124454104 155567630 248908208 311135260 622270520 1244541040