Search a number
-
+
213882746 = 272112171061
BaseRepresentation
bin11001011111110…
…01011101111010
3112220110100222012
430233321131322
5414223221441
633120125522
75204654600
oct1457713572
9486410865
10213882746
11aa805300
125b7668a2
133540824c
1420597870
1513b9c9eb
hexcbf977a

213882746 has 72 divisors (see below), whose sum is σ = 434755188. Its totient is φ = 78355200.

The previous prime is 213882737. The next prime is 213882749. The reversal of 213882746 is 647288312.

It can be written as a sum of positive squares in 2 ways, for example, as 202920025 + 10962721 = 14245^2 + 3311^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213882749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201056 + ... + 202116.

Almost surely, 2213882746 is an apocalyptic number.

213882746 is an abundant number, since it is smaller than the sum of its proper divisors (220872442).

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

213882746 is a wasteful number, since it uses less digits than its factorization.

213882746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1098 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 213882746 is about 14624.7306299979. The cubic root of 213882746 is about 598.0331391053.

The spelling of 213882746 in words is "two hundred thirteen million, eight hundred eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 121 154 187 238 242 374 539 833 847 1061 1078 1309 1666 1694 2057 2122 2618 4114 5929 7427 9163 11671 11858 14399 14854 18037 18326 23342 28798 36074 51989 81697 100793 103978 126259 128381 163394 198407 201586 252518 256762 396814 571879 883813 898667 1143758 1388849 1767626 1797334 2182477 2777698 4364954 6290669 9721943 12581338 15277339 19443886 30554678 106941373 213882746