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1240300000 = 255579157
BaseRepresentation
bin100100111101101…
…0111100111100000
310012102211202202001
41021323113213200
510020004100000
6323023533344
742510242662
oct11173274740
93172752661
101240300000
11587131825
122a745a254
13169c64734
14baa20532
1573d4b46a
hex49ed79e0

1240300000 has 144 divisors (see below), whose sum is σ = 3110425920. Its totient is φ = 486720000.

The previous prime is 1240299971. The next prime is 1240300037. The reversal of 1240300000 is 30421.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1240300000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7899922 + ... + 7900078.

It is an arithmetic number, because the mean of its divisors is an integer number (21600180).

Almost surely, 21240300000 is an apocalyptic number.

1240300000 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 1240300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555212960).

1240300000 is an abundant number, since it is smaller than the sum of its proper divisors (1870125920).

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

1240300000 is an frugal number, since it uses more digits than its factorization.

1240300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1240300000 is about 35217.8931794621. The cubic root of 1240300000 is about 1074.4237040892.

Adding to 1240300000 its reverse (30421), we get a palindrome (1240330421).

The spelling of 1240300000 in words is "one billion, two hundred forty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 157 158 160 200 250 314 316 395 400 500 625 628 632 785 790 800 1000 1250 1256 1264 1570 1580 1975 2000 2500 2512 2528 3125 3140 3160 3925 3950 4000 5000 5024 6250 6280 6320 7850 7900 9875 10000 12403 12500 12560 12640 15700 15800 19625 19750 20000 24806 25000 25120 31400 31600 39250 39500 49375 49612 50000 62015 62800 63200 78500 79000 98125 98750 99224 100000 124030 125600 157000 158000 196250 197500 198448 246875 248060 310075 314000 316000 392500 395000 396896 490625 493750 496120 620150 628000 785000 790000 981250 987500 992240 1240300 1550375 1570000 1580000 1962500 1975000 1984480 2480600 3100750 3140000 3925000 3950000 4961200 6201500 7751875 7850000 7900000 9922400 12403000 15503750 15700000 24806000 31007500 38759375 49612000 62015000 77518750 124030000 155037500 248060000 310075000 620150000 1240300000