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1204241000 = 235311310657
BaseRepresentation
bin100011111000111…
…0100001001101000
310002220222210002112
41013301310021220
54431241203000
6315255021452
741561610464
oct10761641150
93086883075
101204241000
115688430a6
1229736a888
1316264a951
14b5d154a4
1570ac7235
hex47c74268

1204241000 has 64 divisors (see below), whose sum is σ = 2843128080. Its totient is φ = 477388800.

The previous prime is 1204240987. The next prime is 1204241029. The reversal of 1204241000 is 1424021.

It can be written as a sum of positive squares in 8 ways, for example, as 202265284 + 1001975716 = 14222^2 + 31654^2 .

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, 107672 + ... + 118328.

Almost surely, 21204241000 is an apocalyptic number.

1204241000 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 1204241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421564040).

1204241000 is an abundant number, since it is smaller than the sum of its proper divisors (1638887080).

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

1204241000 is a wasteful number, since it uses less digits than its factorization.

1204241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10791 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1204241000 is about 34702.1757242972. The cubic root of 1204241000 is about 1063.9089681291.

Adding to 1204241000 its reverse (1424021), we get a palindrome (1205665021).

The spelling of 1204241000 in words is "one billion, two hundred four million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 10657 11300 14125 21314 22600 28250 42628 53285 56500 85256 106570 113000 213140 266425 426280 532850 1065700 1204241 1332125 2131400 2408482 2664250 4816964 5328500 6021205 9633928 10657000 12042410 24084820 30106025 48169640 60212050 120424100 150530125 240848200 301060250 602120500 1204241000