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5379858560 = 27521139839
BaseRepresentation
bin1010000001010101…
…00010000010000000
3111212221011010112202
411000222202002000
542004220433220
62245501012332
7250214020556
oct50052420200
914787133482
105379858560
1123108763aa
1210618540a8
1367976a57b
14390701bd6
1521748c275
hex140aa2080

5379858560 has 64 divisors (see below), whose sum is σ = 12922502400. Its totient is φ = 2141690880.

The previous prime is 5379858511. The next prime is 5379858577. The reversal of 5379858560 is 658589735.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5379858496 and 5379858505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115121 + ... + 154959.

It is an arithmetic number, because the mean of its divisors is an integer number (201914100).

Almost surely, 25379858560 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 5379858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461251200).

5379858560 is an abundant number, since it is smaller than the sum of its proper divisors (7542643840).

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

5379858560 is a wasteful number, since it uses less digits than its factorization.

5379858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40069 (or 40057 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The square root of 5379858560 is about 73347.5191127825. The cubic root of 5379858560 is about 1752.2266687541.

The spelling of 5379858560 in words is "five billion, three hundred seventy-nine million, eight hundred fifty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 320 422 640 844 1055 1688 2110 3376 4220 6752 8440 13504 16880 27008 33760 39839 67520 79678 135040 159356 199195 318712 398390 637424 796780 1274848 1593560 2549696 3187120 5099392 6374240 8406029 12748480 16812058 25496960 33624116 42030145 67248232 84060290 134496464 168120580 268992928 336241160 537985856 672482320 1075971712 1344964640 2689929280 5379858560