Search a number
-
+
1204240000 = 275415053
BaseRepresentation
bin100011111000111…
…0011111010000000
310002220222201201111
41013301303322000
54431241140000
6315255013104
741561604535
oct10761637200
93086881644
101204240000
11568842377
1229736a194
1316264a362
14b5d14d8c
1570ac6cba
hex47c73e80

1204240000 has 80 divisors (see below), whose sum is σ = 2998079370. Its totient is φ = 481664000.

The previous prime is 1204239997. The next prime is 1204240013. The reversal of 1204240000 is 424021.

It can be written as a sum of positive squares in 5 ways, for example, as 178703424 + 1025536576 = 13368^2 + 32024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72474 + ... + 87526.

Almost surely, 21204240000 is an apocalyptic number.

1204240000 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 1204240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499039685).

1204240000 is an abundant number, since it is smaller than the sum of its proper divisors (1793839370).

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

1204240000 is an frugal number, since it uses more digits than its factorization.

1204240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15087 (or 15060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1204240000 is about 34702.1613159757. The cubic root of 1204240000 is about 1063.9086736395.

Adding to 1204240000 its reverse (424021), we get a palindrome (1204664021).

The spelling of 1204240000 in words is "one billion, two hundred four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 15053 16000 20000 30106 40000 60212 75265 80000 120424 150530 240848 301060 376325 481696 602120 752650 963392 1204240 1505300 1881625 1926784 2408480 3010600 3763250 4816960 6021200 7526500 9408125 9633920 12042400 15053000 18816250 24084800 30106000 37632500 48169600 60212000 75265000 120424000 150530000 240848000 301060000 602120000 1204240000