Search a number
-
+
275212420 = 22572319059
BaseRepresentation
bin10000011001110…
…110100010000100
3201011212020110121
4100121312202010
51030423244140
643150431324
76551160400
oct2031664204
9634766417
10275212420
1113139418a
1278202544
134502c4b2
14287a0100
151926464a
hex10676884

275212420 has 72 divisors (see below), whose sum is σ = 694068480. Its totient is φ = 91304640.

The previous prime is 275212417. The next prime is 275212463. The reversal of 275212420 is 24212572.

It is a super-2 number, since 2×2752124202 = 151483752244512800, which contains 22 as substring.

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, 25851 + ... + 34909.

It is an arithmetic number, because the mean of its divisors is an integer number (9639840).

Almost surely, 2275212420 is an apocalyptic number.

275212420 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 275212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347034240).

275212420 is an abundant number, since it is smaller than the sum of its proper divisors (418856060).

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

275212420 is a wasteful number, since it uses less digits than its factorization.

275212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9113 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 275212420 is about 16589.5274194294. The cubic root of 275212420 is about 650.4631176872.

Adding to 275212420 its reverse (24212572), we get a palindrome (299424992).

The spelling of 275212420 in words is "two hundred seventy-five million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 9059 15190 18118 30380 36236 45295 63413 90590 126826 181180 253652 280829 317065 443891 561658 634130 887782 1123316 1268260 1404145 1775564 1965803 2219455 2808290 3931606 4438910 5616580 7863212 8877820 9829015 13760621 19658030 27521242 39316060 55042484 68803105 137606210 275212420