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6020404000 = 255313115777
BaseRepresentation
bin1011001101101100…
…00001001100100000
3120112120110012200221
411212312001030200
544312210412000
62433222052424
7302122406152
oct54666011440
916476405627
106020404000
11260a3a76a6
12120027a114
1374c391040
14411800ad2
1525381861a
hex166d81320

6020404000 has 96 divisors (see below), whose sum is σ = 15930126576. Its totient is φ = 2222899200.

The previous prime is 6020403997. The next prime is 6020404007. The reversal of 6020404000 is 4040206.

It can be written as a sum of positive squares in 8 ways, for example, as 361152016 + 5659251984 = 19004^2 + 75228^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (6020404007) 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 15 ways as a sum of consecutive naturals, for example, 5889 + ... + 109888.

Almost surely, 26020404000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6020404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965063288).

6020404000 is an abundant number, since it is smaller than the sum of its proper divisors (9909722576).

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

6020404000 is a wasteful number, since it uses less digits than its factorization.

6020404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115815 (or 115797 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 6020404000 is about 77591.2623946795. The cubic root of 6020404000 is about 1819.1780694707.

Adding to 6020404000 its reverse (4040206), we get a palindrome (6024444206).

The spelling of 6020404000 in words is "six billion, twenty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 115777 231554 463108 578885 926216 1157770 1505101 1852432 2315540 2894425 3010202 3704864 4631080 5788850 6020404 7525505 9262160 11577700 12040808 14472125 15051010 18524320 23155400 24081616 28944250 30102020 37627525 46310800 48163232 57888500 60204040 75255050 92621600 115777000 120408080 150510100 188137625 231554000 240816160 301020200 376275250 463108000 602040400 752550500 1204080800 1505101000 3010202000 6020404000