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1150268080 = 245132149571
BaseRepresentation
bin100010010001111…
…1011001010110000
32222011102200011111
41010203323022300
54323432034310
6310050123104
740335055153
oct10443731260
92864380144
101150268080
11540329485
12281280494
13154401100
14acaa5c9a
156aeb528a
hex448fb2b0

1150268080 has 120 divisors (see below), whose sum is σ = 2920460400. Its totient is φ = 421125120.

The previous prime is 1150268057. The next prime is 1150268087. The reversal of 1150268080 is 808620511.

It is not an unprimeable number, because it can be changed into a prime (1150268087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2014195 + ... + 2014765.

It is an arithmetic number, because the mean of its divisors is an integer number (24337170).

Almost surely, 21150268080 is an apocalyptic number.

1150268080 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 1150268080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460230200).

1150268080 is an abundant number, since it is smaller than the sum of its proper divisors (1770192320).

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

1150268080 is a wasteful number, since it uses less digits than its factorization.

1150268080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 1150268080 is about 33915.6023092617. The cubic root of 1150268080 is about 1047.7709568800.

Adding to 1150268080 its reverse (808620511), we get a palindrome (1958888591).

The spelling of 1150268080 in words is "one billion, one hundred fifty million, two hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 149 169 208 260 298 338 520 571 596 676 745 845 1040 1142 1192 1352 1490 1690 1937 2284 2384 2704 2855 2980 3380 3874 4568 5710 5960 6760 7423 7748 9136 9685 11420 11920 13520 14846 15496 19370 22840 25181 29692 30992 37115 38740 45680 50362 59384 74230 77480 85079 96499 100724 118768 125905 148460 154960 170158 192998 201448 251810 296920 340316 385996 402896 425395 482495 503620 593840 680632 771992 850790 964990 1007240 1106027 1361264 1543984 1701580 1929980 2014480 2212054 3403160 3859960 4424108 5530135 6806320 7719920 8848216 11060270 14378351 17696432 22120540 28756702 44241080 57513404 71891755 88482160 115026808 143783510 230053616 287567020 575134040 1150268080