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1255012000 = 25531122593
BaseRepresentation
bin100101011001101…
…1111011010100000
310020110112012210221
41022303133122200
510032240341000
6324311132424
743046266054
oct11263373240
93213465727
101255012000
11594470100
122b0374114
13170015c68
14bc96dc64
15752a561a
hex4acdf6a0

1255012000 has 144 divisors (see below), whose sum is σ = 3390679656. Its totient is φ = 456192000.

The previous prime is 1255011983. The next prime is 1255012123. The reversal of 1255012000 is 2105521.

It can be written as a sum of positive squares in 4 ways, for example, as 429484176 + 825527824 = 20724^2 + 28732^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 482704 + ... + 485296.

Almost surely, 21255012000 is an apocalyptic number.

1255012000 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 1255012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695339828).

1255012000 is an abundant number, since it is smaller than the sum of its proper divisors (2135667656).

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

1255012000 is a wasteful number, since it uses less digits than its factorization.

1255012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1255012000 is about 35426.1485346629. The cubic root of 1255012000 is about 1078.6551619234.

Adding to 1255012000 its reverse (2105521), we get a palindrome (1257117521).

The spelling of 1255012000 in words is "one billion, two hundred fifty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2593 2750 3025 3872 4000 4400 4840 5186 5500 6050 8800 9680 10372 11000 12100 12965 15125 19360 20744 22000 24200 25930 28523 30250 41488 44000 48400 51860 57046 60500 64825 82976 96800 103720 114092 121000 129650 142615 207440 228184 242000 259300 285230 313753 324125 414880 456368 484000 518600 570460 627506 648250 713075 912736 1037200 1140920 1255012 1296500 1426150 1568765 2074400 2281840 2510024 2593000 2852300 3137530 3565375 4563680 5020048 5186000 5704600 6275060 7130750 7843825 10040096 10372000 11409200 12550120 14261500 15687650 22818400 25100240 28523000 31375300 39219125 50200480 57046000 62750600 78438250 114092000 125501200 156876500 251002400 313753000 627506000 1255012000