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5540610420 = 223251711171621
BaseRepresentation
bin1010010100011111…
…10000000101110100
3112022010122011122100
411022033300011310
542321344013140
62313442302100
7254205261102
oct51217600564
915263564570
105540610420
112393591684
1210a7657930
136a3b62307
143a7bc8c72
15226642530
hex14a3f0174

5540610420 has 144 divisors (see below), whose sum is σ = 17822055888. Its totient is φ = 1388482560.

The previous prime is 5540610391. The next prime is 5540610421. The reversal of 5540610420 is 240160455.

5540610420 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 610 + 42 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25765776 + 5514844644 = 5076^2 + 74262^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540610421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3417210 + ... + 3418830.

It is an arithmetic number, because the mean of its divisors is an integer number (123764277).

Almost surely, 25540610420 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 5540610420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911027944).

5540610420 is an abundant number, since it is smaller than the sum of its proper divisors (12281445468).

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

5540610420 is a wasteful number, since it uses less digits than its factorization.

5540610420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5540610420 is about 74435.2767174275. The cubic root of 5540610420 is about 1769.5080314217.

Adding to 5540610420 its reverse (240160455), we get a palindrome (5780770875).

The spelling of 5540610420 in words is "five billion, five hundred forty million, six hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1117 1530 1621 2234 3060 3242 3351 4468 4863 5585 6484 6702 8105 9726 10053 11170 13404 14589 16210 16755 18989 19452 20106 22340 24315 27557 29178 32420 33510 37978 40212 48630 50265 55114 56967 58356 67020 72945 75956 82671 94945 97260 100530 110228 113934 137785 145890 165342 170901 189890 201060 227868 248013 275570 284835 291780 330684 341802 379780 413355 496026 551140 569670 683604 826710 854505 992052 1139340 1240065 1653420 1709010 1810657 2480130 3418020 3621314 4960260 5431971 7242628 9053285 10863942 16295913 18106570 21727884 27159855 30781169 32591826 36213140 54319710 61562338 65183652 81479565 92343507 108639420 123124676 153905845 162959130 184687014 277030521 307811690 325918260 369374028 461717535 554061042 615623380 923435070 1108122084 1385152605 1846870140 2770305210 5540610420