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1150412000 = 25531915137
BaseRepresentation
bin100010010010001…
…1110010011100000
32222011200222120212
41010210132103200
54324001141000
6310053153252
740336224563
oct10444362340
92864628525
101150412000
11540417621
1228132b828
1315445177a
14acb024da
156aee2c35
hex4491e4e0

1150412000 has 96 divisors (see below), whose sum is σ = 2975525280. Its totient is φ = 435916800.

The previous prime is 1150411987. The next prime is 1150412009. The reversal of 1150412000 is 2140511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150412009) 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, 68432 + ... + 83568.

It is an arithmetic number, because the mean of its divisors is an integer number (30995055).

Almost surely, 21150412000 is an apocalyptic number.

1150412000 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 1150412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487762640).

1150412000 is an abundant number, since it is smaller than the sum of its proper divisors (1825113280).

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

1150412000 is a wasteful number, since it uses less digits than its factorization.

1150412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1150412000 is about 33917.7239802437. The cubic root of 1150412000 is about 1047.8146536234.

Adding to 1150412000 its reverse (2140511), we get a palindrome (1152552511).

The spelling of 1150412000 in words is "one billion, one hundred fifty million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15137 15200 19000 30274 38000 60548 75685 76000 121096 151370 242192 287603 302740 378425 484384 575206 605480 756850 1150412 1210960 1438015 1513700 1892125 2300824 2421920 2876030 3027400 3784250 4601648 5752060 6054800 7190075 7568500 9203296 11504120 12109600 14380150 15137000 23008240 28760300 30274000 35950375 46016480 57520600 60548000 71900750 115041200 143801500 230082400 287603000 575206000 1150412000