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2068185060 = 2232531336709
BaseRepresentation
bin111101101000101…
…1111111111100100
312100010122200112200
41323101133333210
513213423410220
6541120214500
7102152166024
oct17321377744
95303580480
102068185060
11971489057
1249876a430
1326c62ba56
14158967a84
15c1880890
hex7b45ffe4

2068185060 has 72 divisors (see below), whose sum is σ = 6293709240. Its totient is φ = 549739008.

The previous prime is 2068185043. The next prime is 2068185073. The reversal of 2068185060 is 605818602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6843456 + 2061341604 = 2616^2 + 45402^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37986 + ... + 74694.

Almost surely, 22068185060 is an apocalyptic number.

2068185060 is a gapful number since it is divisible by the number (20) 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 2068185060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146854620).

2068185060 is an abundant number, since it is smaller than the sum of its proper divisors (4225524180).

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

2068185060 is a wasteful number, since it uses less digits than its factorization.

2068185060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37037 (or 37032 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2068185060 is about 45477.3026904631. The cubic root of 2068185060 is about 1274.0793168762.

The spelling of 2068185060 in words is "two billion, sixty-eight million, one hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 9390 11268 14085 18780 28170 36709 56340 73418 110127 146836 183545 220254 330381 367090 440508 550635 660762 734180 1101270 1321524 1651905 2202540 3303810 6607620 11489917 22979834 34469751 45959668 57449585 68939502 103409253 114899170 137879004 172348755 206818506 229798340 344697510 413637012 517046265 689395020 1034092530 2068185060