Search a number
-
+
420335262 = 232315361233
BaseRepresentation
bin11001000011011…
…100111010011110
31002021221020120200
4121003130322132
51330101212022
6105413124330
713262535144
oct3103347236
91067836520
10420335262
111a62a5116
12b89296a6
13691114b9
143db79594
1526d7dbac
hex190dce9e

420335262 has 96 divisors (see below), whose sum is σ = 977723136. Its totient is φ = 130291200.

The previous prime is 420335257. The next prime is 420335273. The reversal of 420335262 is 262533024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1803898 + ... + 1804130.

It is an arithmetic number, because the mean of its divisors is an integer number (10184616).

Almost surely, 2420335262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420335262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488861568).

420335262 is an abundant number, since it is smaller than the sum of its proper divisors (557387874).

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

420335262 is a wasteful number, since it uses less digits than its factorization.

420335262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 420335262 is about 20502.0794555089. The cubic root of 420335262 is about 749.0864503545.

Adding to 420335262 its reverse (262533024), we get a palindrome (682868286).

The spelling of 420335262 in words is "four hundred twenty million, three hundred thirty-five thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 18 31 53 61 62 93 106 122 159 183 186 233 279 318 366 466 477 549 558 699 954 1098 1398 1643 1891 2097 3233 3286 3782 4194 4929 5673 6466 7223 9699 9858 11346 12349 14213 14446 14787 17019 19398 21669 24698 28426 29097 29574 34038 37047 42639 43338 58194 65007 74094 85278 100223 111141 127917 130014 200446 222282 255834 300669 382819 440603 601338 753289 765638 881206 902007 1148457 1321809 1506578 1804014 2259867 2296914 2643618 3445371 3965427 4519734 6779601 6890742 7930854 13559202 23351959 46703918 70055877 140111754 210167631 420335262