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1244021200 = 245219191857
BaseRepresentation
bin100101000100110…
…0100000111010000
310012200211211021021
41022021210013100
510021432134300
6323235405224
742554001652
oct11211440720
93180754237
101244021200
115892435a4
122a8753814
1316a968426
14bb30c6d2
1574333d1a
hex4a2641d0

1244021200 has 120 divisors (see below), whose sum is σ = 3166225920. Its totient is φ = 468403200.

The previous prime is 1244021197. The next prime is 1244021213. The reversal of 1244021200 is 21204421.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451172 + ... + 1452028.

It is an arithmetic number, because the mean of its divisors is an integer number (26385216).

Almost surely, 21244021200 is an apocalyptic number.

1244021200 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 1244021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583112960).

1244021200 is an abundant number, since it is smaller than the sum of its proper divisors (1922204720).

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

1244021200 is a wasteful number, since it uses less digits than its factorization.

1244021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1244021200 is about 35270.6847112443. The cubic root of 1244021200 is about 1075.4971416100.

Adding to 1244021200 its reverse (21204421), we get a palindrome (1265225621).

The spelling of 1244021200 in words is "one billion, two hundred forty-four million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 191 200 304 380 382 400 475 760 764 857 950 955 1520 1528 1714 1900 1910 3056 3428 3629 3800 3820 4285 4775 6856 7258 7600 7640 8570 9550 13712 14516 15280 16283 17140 18145 19100 21425 29032 32566 34280 36290 38200 42850 58064 65132 68560 72580 76400 81415 85700 90725 130264 145160 162830 163687 171400 181450 260528 290320 325660 327374 342800 362900 407075 651320 654748 725800 814150 818435 1302640 1309496 1451600 1628300 1636870 2618992 3110053 3256600 3273740 4092175 6220106 6513200 6547480 8184350 12440212 13094960 15550265 16368700 24880424 31100530 32737400 49760848 62201060 65474800 77751325 124402120 155502650 248804240 311005300 622010600 1244021200