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1243540000 = 255497641
BaseRepresentation
bin100101000011110…
…1110101000100000
310012122221101012001
41022013232220200
510021321240000
6323221213344
742546626023
oct11207565040
93178841161
101243540000
11588a4500a
122a8561254
1316a82a3b1
14bb2251ba
157428b46a
hex4a1eea20

1243540000 has 120 divisors (see below), whose sum is σ = 3095655948. Its totient is φ = 491520000.

The previous prime is 1243539971. The next prime is 1243540037. The reversal of 1243540000 is 453421.

It can be written as a sum of positive squares in 10 ways, for example, as 7033104 + 1236506896 = 2652^2 + 35164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1243540000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1939680 + ... + 1940320.

Almost surely, 21243540000 is an apocalyptic number.

1243540000 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 1243540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547827974).

1243540000 is an abundant number, since it is smaller than the sum of its proper divisors (1852115948).

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

1243540000 is an frugal number, since it uses more digits than its factorization.

1243540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1243540000 is about 35263.8625224180. The cubic root of 1243540000 is about 1075.3584526639.

Adding to 1243540000 its reverse (453421), we get a palindrome (1243993421).

The spelling of 1243540000 in words is "one billion, two hundred forty-three million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 625 641 776 800 970 1000 1250 1282 1552 1940 2000 2425 2500 2564 3104 3205 3880 4000 4850 5000 5128 6410 7760 9700 10000 10256 12125 12820 15520 16025 19400 20000 20512 24250 25640 32050 38800 48500 51280 60625 62177 64100 77600 80125 97000 102560 121250 124354 128200 160250 194000 242500 248708 256400 310885 320500 388000 400625 485000 497416 512800 621770 641000 801250 970000 994832 1243540 1282000 1554425 1602500 1940000 1989664 2487080 2564000 3108850 3205000 4974160 6217700 6410000 7772125 9948320 12435400 12820000 15544250 24870800 31088500 38860625 49741600 62177000 77721250 124354000 155442500 248708000 310885000 621770000 1243540000