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1145324000 = 25531716843
BaseRepresentation
bin100010001000100…
…0100000111100000
32221211010111011102
41010101010013200
54321200332000
6305352133532
740245044012
oct10421040740
92854114142
101145324000
11538561967
1227b6972a8
1315338c912
14ac17a1b2
156a83a3d5
hex444441e0

1145324000 has 96 divisors (see below), whose sum is σ = 2979770976. Its totient is φ = 431155200.

The previous prime is 1145323997. The next prime is 1145324021. The reversal of 1145324000 is 4235411.

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 15 ways as a sum of consecutive naturals, for example, 59579 + ... + 76421.

It is an arithmetic number, because the mean of its divisors is an integer number (31039281).

Almost surely, 21145324000 is an apocalyptic number.

1145324000 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 1145324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489885488).

1145324000 is an abundant number, since it is smaller than the sum of its proper divisors (1834446976).

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

1145324000 is a wasteful number, since it uses less digits than its factorization.

1145324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16885 (or 16867 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1145324000 is about 33842.6358311524. The cubic root of 1145324000 is about 1046.2676252570.

Adding to 1145324000 its reverse (4235411), we get a palindrome (1149559411).

It can be divided in two parts, 11453 and 24000, that added together give a palindrome (35453).

The spelling of 1145324000 in words is "one billion, one hundred forty-five million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 16843 17000 33686 34000 67372 68000 84215 134744 168430 269488 286331 336860 421075 538976 572662 673720 842150 1145324 1347440 1431655 1684300 2105375 2290648 2694880 2863310 3368600 4210750 4581296 5726620 6737200 7158275 8421500 9162592 11453240 13474400 14316550 16843000 22906480 28633100 33686000 35791375 45812960 57266200 67372000 71582750 114532400 143165500 229064800 286331000 572662000 1145324000