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1243140000 = 2535420719
BaseRepresentation
bin100101000011000…
…1100111110100000
310012122012001111020
41022012030332200
510021220440000
6323204445440
742543341604
oct11206147640
93178161436
101243140000
115887a1533
122a83a9880
1316a71a2cb
14bb15d504
157420cba0
hex4a18cfa0

1243140000 has 120 divisors (see below), whose sum is σ = 4077944640. Its totient is φ = 331488000.

The previous prime is 1243139981. The next prime is 1243140001. The reversal of 1243140000 is 413421.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1243140001) by changing a digit.

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, 49641 + ... + 70359.

It is an arithmetic number, because the mean of its divisors is an integer number (33982872).

Almost surely, 21243140000 is an apocalyptic number.

1243140000 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 1243140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038972320).

1243140000 is an abundant number, since it is smaller than the sum of its proper divisors (2834804640).

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

1243140000 is an equidigital number, since it uses as much as digits as its factorization.

1243140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20752 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1243140000 is about 35258.1905378027. The cubic root of 1243140000 is about 1075.2431395230.

Adding to 1243140000 its reverse (413421), we get a palindrome (1243553421).

The spelling of 1243140000 in words is "one billion, two hundred forty-three million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 20719 30000 41438 60000 62157 82876 103595 124314 165752 207190 248628 310785 331504 414380 497256 517975 621570 663008 828760 994512 1035950 1243140 1553925 1657520 1989024 2071900 2486280 2589875 3107850 3315040 4143800 4972560 5179750 6215700 7769625 8287600 9945120 10359500 12431400 12949375 15539250 16575200 20719000 24862800 25898750 31078500 38848125 41438000 49725600 51797500 62157000 77696250 82876000 103595000 124314000 155392500 207190000 248628000 310785000 414380000 621570000 1243140000