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1255113200 = 2452111092617
BaseRepresentation
bin100101011001111…
…1000000111110000
310020110201100122002
41022303320013300
510032302110300
6324313233132
743050200105
oct11263700760
93213640562
101255113200
1159452a140
122b04027a8
13170050043
14bc998aac
15752c55d5
hex4acf81f0

1255113200 has 120 divisors (see below), whose sum is σ = 3320985360. Its totient is φ = 452044800.

The previous prime is 1255113137. The next prime is 1255113217. The reversal of 1255113200 is 23115521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478292 + ... + 480908.

It is an arithmetic number, because the mean of its divisors is an integer number (27674878).

Almost surely, 21255113200 is an apocalyptic number.

1255113200 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 1255113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660492680).

1255113200 is an abundant number, since it is smaller than the sum of its proper divisors (2065872160).

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

1255113200 is a wasteful number, since it uses less digits than its factorization.

1255113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1255113200 is about 35427.5768293571. The cubic root of 1255113200 is about 1078.6841542009.

Adding to 1255113200 its reverse (23115521), we get a palindrome (1278228721).

The spelling of 1255113200 in words is "one billion, two hundred fifty-five million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 109 110 176 200 218 220 275 400 436 440 545 550 872 880 1090 1100 1199 1744 2180 2200 2398 2617 2725 4360 4400 4796 5234 5450 5995 8720 9592 10468 10900 11990 13085 19184 20936 21800 23980 26170 28787 29975 41872 43600 47960 52340 57574 59950 65425 95920 104680 115148 119900 130850 143935 209360 230296 239800 261700 285253 287870 460592 479600 523400 570506 575740 719675 1046800 1141012 1151480 1426265 1439350 2282024 2302960 2852530 2878700 3137783 4564048 5705060 5757400 6275566 7131325 11410120 11514800 12551132 14262650 15688915 22820240 25102264 28525300 31377830 50204528 57050600 62755660 78444575 114101200 125511320 156889150 251022640 313778300 627556600 1255113200