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1241480016 = 243272353549
BaseRepresentation
bin100100111111111…
…0111101101010000
310012112001201102100
41021333313231100
510020304330031
6323105120400
742523256160
oct11177675520
93175051370
101241480016
11587868347
122a7929100
1316a28887a
14bac4a5a0
1573ed0de6
hex49ff7b50

1241480016 has 120 divisors (see below), whose sum is σ = 4143484800. Its totient is φ = 339280128.

The previous prime is 1241479979. The next prime is 1241480017. The reversal of 1241480016 is 6100841421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241480017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3591 + ... + 49958.

It is an arithmetic number, because the mean of its divisors is an integer number (34529040).

Almost surely, 21241480016 is an apocalyptic number.

1241480016 is a gapful number since it is divisible by the number (16) 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 1241480016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071742400).

1241480016 is an abundant number, since it is smaller than the sum of its proper divisors (2902004784).

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

1241480016 is a wasteful number, since it uses less digits than its factorization.

1241480016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53593 (or 53584 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1241480016 is about 35234.6422714918. The cubic root of 1241480016 is about 1074.7643300943.

The spelling of 1241480016 in words is "one billion, two hundred forty-one million, four hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 53549 107098 160647 214196 321294 374843 428392 481941 642588 749686 856784 963882 1124529 1231627 1285176 1499372 1927764 2249058 2463254 2570352 2998744 3373587 3694881 3855528 4498116 4926508 5997488 6747174 7389762 7711056 8621389 8996232 9853016 11084643 13494348 14779524 17242778 17992464 19706032 22169286 25864167 26988696 29559048 34485556 44338572 51728334 53977392 59118096 68971112 77592501 88677144 103456668 137942224 155185002 177354288 206913336 310370004 413826672 620740008 1241480016