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5601000540 = 22351726320879
BaseRepresentation
bin1010011011101100…
…00111110001011100
3112110100021022022110
411031312013301130
542432324004130
62323440514020
7255540501432
oct51566076134
915410238273
105601000540
112414689673
12110391b910
136b3517a05
143b1c28d52
1522bac0ab0
hex14dd87c5c

5601000540 has 96 divisors (see below), whose sum is σ = 16669255680. Its totient is φ = 1400329216.

The previous prime is 5601000511. The next prime is 5601000553. The reversal of 5601000540 is 450001065.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257821 + ... + 278699.

It is an arithmetic number, because the mean of its divisors is an integer number (173638080).

Almost surely, 25601000540 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 5601000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334627840).

5601000540 is an abundant number, since it is smaller than the sum of its proper divisors (11068255140).

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

5601000540 is a wasteful number, since it uses less digits than its factorization.

5601000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21171 (or 21169 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5601000540 is about 74839.8325759752. The cubic root of 5601000540 is about 1775.9137571241.

The spelling of 5601000540 in words is "five billion, six hundred one million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 263 340 510 526 789 1020 1052 1315 1578 2630 3156 3945 4471 5260 7890 8942 13413 15780 17884 20879 22355 26826 41758 44710 53652 62637 67065 83516 89420 104395 125274 134130 208790 250548 268260 313185 354943 417580 626370 709886 1064829 1252740 1419772 1774715 2129658 3549430 4259316 5324145 5491177 7098860 10648290 10982354 16473531 21296580 21964708 27455885 32947062 54911770 65894124 82367655 93350009 109823540 164735310 186700018 280050027 329470620 373400036 466750045 560100054 933500090 1120200108 1400250135 1867000180 2800500270 5601000540