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1261334240 = 25517944041
BaseRepresentation
bin100101100101110…
…0110111011100000
310020220102102021222
41023023212323200
510040400143430
6325054434212
743154110205
oct11313467340
93226372258
101261334240
11597a990a1
122b2502968
1317141a82a
14bd737cac
1575b039e5
hex4b2e6ee0

1261334240 has 48 divisors (see below), whose sum is σ = 2996617680. Its totient is φ = 501703680.

The previous prime is 1261334213. The next prime is 1261334251. The reversal of 1261334240 is 424331621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6620 + ... + 50660.

It is an arithmetic number, because the mean of its divisors is an integer number (62429535).

Almost surely, 21261334240 is an apocalyptic number.

1261334240 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 1261334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498308840).

1261334240 is an abundant number, since it is smaller than the sum of its proper divisors (1735283440).

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

1261334240 is a wasteful number, since it uses less digits than its factorization.

1261334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44235 (or 44227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1261334240 is about 35515.2677027782. The cubic root of 1261334240 is about 1080.4634042443.

Adding to 1261334240 its reverse (424331621), we get a palindrome (1685665861).

The spelling of 1261334240 in words is "one billion, two hundred sixty-one million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3580 5728 7160 14320 28640 44041 88082 176164 220205 352328 440410 704656 880820 1409312 1761640 3523280 7046560 7883339 15766678 31533356 39416695 63066712 78833390 126133424 157666780 252266848 315333560 630667120 1261334240