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1281260080 = 245172340961
BaseRepresentation
bin100110001011110…
…0111101000110000
310022021220202102001
41030113213220300
510111000310310
6331045503344
743515350062
oct11427475060
93267822361
101281260080
115a8268731
122b9111b54
131755a6279
14c2243732
157773c93a
hex4c5e7a30

1281260080 has 80 divisors (see below), whose sum is σ = 3291378624. Its totient is φ = 461373440.

The previous prime is 1281260069. The next prime is 1281260083. The reversal of 1281260080 is 800621821.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1281260083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10800 + ... + 51760.

Almost surely, 21281260080 is an apocalyptic number.

1281260080 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 1281260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645689312).

1281260080 is an abundant number, since it is smaller than the sum of its proper divisors (2010118544).

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

1281260080 is a wasteful number, since it uses less digits than its factorization.

1281260080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41014 (or 41008 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1281260080 is about 35794.6934614616. The cubic root of 1281260080 is about 1086.1232197191.

The spelling of 1281260080 in words is "one billion, two hundred eighty-one million, two hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 40961 81922 163844 204805 327688 409610 655376 696337 819220 942103 1392674 1638440 1884206 2785348 3276880 3481685 3768412 4710515 5570696 6963370 7536824 9421030 11141392 13926740 15073648 16015751 18842060 27853480 32031502 37684120 55706960 64063004 75368240 80078755 128126008 160157510 256252016 320315020 640630040 1281260080