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2000599104 = 26372951329
BaseRepresentation
bin111011100111110…
…1011100001000000
312011102110222001010
41313033223201000
513044123132404
6530303440520
7100401545310
oct16717534100
95142428033
102000599104
11937316799
12479bb6140
1325b626c6a
1414d9b3440
15ba980189
hex773eb840

2000599104 has 112 divisors (see below), whose sum is σ = 6258153600. Its totient is φ = 551878656.

The previous prime is 2000599079. The next prime is 2000599147. The reversal of 2000599104 is 4019950002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 13312 + ... + 64640.

Almost surely, 22000599104 is an apocalyptic number.

2000599104 is a gapful number since it is divisible by the number (24) 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 2000599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129076800).

2000599104 is an abundant number, since it is smaller than the sum of its proper divisors (4257554496).

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

2000599104 is a wasteful number, since it uses less digits than its factorization.

2000599104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51380 (or 51370 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2000599104 is about 44728.0572348051. The cubic root of 2000599104 is about 1260.0468412921.

The spelling of 2000599104 in words is "two billion, five hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 38976 51329 102658 153987 205316 307974 359303 410632 615948 718606 821264 1077909 1231896 1437212 1488541 1642528 2155818 2463792 2874424 2977082 3285056 4311636 4465623 4927584 5748848 5954164 8623272 8931246 9855168 10419787 11497696 11908328 17246544 17862492 20839574 22995392 23816656 31259361 34493088 35724984 41679148 47633312 62518722 68986176 71449968 83358296 95266624 125037444 142899936 166716592 250074888 285799872 333433184 500149776 666866368 1000299552 2000599104