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420720660 = 223256138317
BaseRepresentation
bin11001000100111…
…011000000010100
31002022122211020200
4121010323000110
51330201030120
6105425300500
713266031563
oct3104730024
91068584220
10420720660
111a6538728
12b8a94730
1369217a49
143dc39bda
1526e07e90
hex1913b014

420720660 has 72 divisors (see below), whose sum is σ = 1297140936. Its totient is φ = 110350080.

The previous prime is 420720659. The next prime is 420720679. The reversal of 420720660 is 66027024.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 416894724 = 1956^2 + 20418^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8179 + ... + 30138.

Almost surely, 2420720660 is an apocalyptic number.

It is an amenable number.

420720660 is an abundant number, since it is smaller than the sum of its proper divisors (876420276).

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

420720660 is a wasteful number, since it uses less digits than its factorization.

420720660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38393 (or 38388 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 420720660 is about 20511.4762998669. The cubic root of 420720660 is about 749.3153218112.

Adding to 420720660 its reverse (66027024), we get a palindrome (486747684).

The spelling of 420720660 in words is "four hundred twenty million, seven hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 38317 76634 114951 153268 191585 229902 344853 383170 459804 574755 689706 766340 1149510 1379412 1724265 2299020 2337337 3448530 4674674 6897060 7012011 9349348 11686685 14024022 21036033 23373370 28048044 35060055 42072066 46746740 70120110 84144132 105180165 140240220 210360330 420720660