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420213310 = 2511171911827
BaseRepresentation
bin11001000010111…
…111001000111110
31002021201001021221
4121002333020332
51330033311220
6105410343554
713261516456
oct3102771076
91067631257
10420213310
111a6221530
12b888abba
136909ab3a
143db46d66
1526d579aa
hex190bf23e

420213310 has 64 divisors (see below), whose sum is σ = 919745280. Its totient is φ = 136235520.

The previous prime is 420213187. The next prime is 420213317. The reversal of 420213310 is 13312024.

It is a happy number.

It is a super-2 number, since 2×4202133102 = 353158451802312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420213317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29617 + ... + 41443.

It is an arithmetic number, because the mean of its divisors is an integer number (14371020).

Almost surely, 2420213310 is an apocalyptic number.

420213310 is an abundant number, since it is smaller than the sum of its proper divisors (499531970).

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

420213310 is a wasteful number, since it uses less digits than its factorization.

420213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 420213310 is about 20499.1051024185. The cubic root of 420213310 is about 749.0139991192.

Adding to 420213310 its reverse (13312024), we get a palindrome (433525334).

The spelling of 420213310 in words is "four hundred twenty million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 11 17 19 22 34 38 55 85 95 110 170 187 190 209 323 374 418 646 935 1045 1615 1870 2090 3230 3553 7106 11827 17765 23654 35530 59135 118270 130097 201059 224713 260194 402118 449426 650485 1005295 1123565 1300970 2010590 2211649 2247130 2471843 3820121 4423298 4943686 7640242 11058245 12359215 19100605 22116490 24718430 38201210 42021331 84042662 210106655 420213310