Search a number
-
+
247395420 = 2232511312163
BaseRepresentation
bin11101011111011…
…11010001011100
3122020111222201100
432233233101130
51001313123140
640314313100
76062553306
oct1657572134
9566458640
10247395420
11117714928
126aa28790
133c34002c
1424bdc976
1516abc530
hexebef45c

247395420 has 72 divisors (see below), whose sum is σ = 757136016. Its totient is φ = 65382912.

The previous prime is 247395413. The next prime is 247395427. The reversal of 247395420 is 24593742.

247395420 is a `hidden beast` number, since 247 + 395 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (247395413) and next prime (247395427).

It is a super-2 number, since 2×2473954202 = 122408987673952800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247395427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14259 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (10515778).

Almost surely, 2247395420 is an apocalyptic number.

247395420 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 247395420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378568008).

247395420 is an abundant number, since it is smaller than the sum of its proper divisors (509740596).

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

247395420 is a wasteful number, since it uses less digits than its factorization.

247395420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12291 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 247395420 is about 15728.8086007809. The cubic root of 247395420 is about 627.7651731327.

The spelling of 247395420 in words is "two hundred forty-seven million, three hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 12163 20340 24326 36489 48652 60815 72978 109467 121630 145956 182445 218934 243260 364890 437868 547335 729780 1094670 1374419 2189340 2748838 4123257 5497676 6872095 8246514 12369771 13744190 16493028 20616285 24739542 27488380 41232570 49479084 61848855 82465140 123697710 247395420