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5840217540 = 2232573444461
BaseRepresentation
bin1010111000001101…
…01010010111000100
3120002000101210100100
411130012222113010
543430043430130
62403304044100
7264504013203
oct53406522704
916060353310
105840217540
112527717973
12116ba63630
13720c53331
143d58d923a
15242ac4c60
hex15c1aa5c4

5840217540 has 72 divisors (see below), whose sum is σ = 17958042648. Its totient is φ = 1536053760.

The previous prime is 5840217527. The next prime is 5840217541. The reversal of 5840217540 is 457120485.

5840217540 is a `hidden beast` number, since 58 + 40 + 21 + 7 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 624200256 + 5216017284 = 24984^2 + 72222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5840217495 and 5840217504.

It is not an unprimeable number, because it can be changed into a prime (5840217541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209091 + ... + 235370.

It is an arithmetic number, because the mean of its divisors is an integer number (249417259).

Almost surely, 25840217540 is an apocalyptic number.

It is an amenable number.

5840217540 is an abundant number, since it is smaller than the sum of its proper divisors (12117825108).

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

5840217540 is a wasteful number, since it uses less digits than its factorization.

5840217540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444549 (or 444544 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5840217540 is about 76421.3160054183. The cubic root of 5840217540 is about 1800.8450291559.

The spelling of 5840217540 in words is "five billion, eight hundred forty million, two hundred seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 444461 888922 1333383 1777844 2222305 2666766 4000149 4444610 5333532 6666915 8000298 8889220 13333830 16000596 20000745 26667660 32445653 40001490 64891306 80002980 97336959 129782612 162228265 194673918 292010877 324456530 389347836 486684795 584021754 648913060 973369590 1168043508 1460054385 1946739180 2920108770 5840217540